Can someone help me solve the following....using elimination methods

1)
5x+7y=43
-4x+y=25

2)9x-9y=36
7y-3x=-14

For 1), just muttiply the bottom one by -7 throughout to get 28x+-7y=-175. 7 and -7 add to 0, so you have gotten rid of the y's. 31x=-132 divide both sides to get what your x is and then use that x to go back and find y.

For 2) the best first move to make is multiply through by 3 on the bottom because then you get 21y + -9x = -42. Positive and negative 9 x add up to zero. All you have to deal with now are the y's. 12 y= -6 divide both sides and now you have a y with which to find x.

would the answer to number 1 be

(-4.26,1.52)?

would the answer to number 2 be

(-0.5,-6.5)?

Sure, I can help you solve those equations using the elimination method.

1) To eliminate one variable, let's multiply the second equation by 7:
-4x + y = 25 * 7
28x - 7y = 175

Now, we have the following system of equations:
5x + 7y = 43
28x - 7y = 175

Adding the two equations together, we eliminate the variable 'y':
(5x + 7y) + (28x - 7y) = 43 + 175
33x = 218

Dividing both sides of the equation by 33, we find the value of 'x':
x = 218 / 33
x ≈ 6.6

Now, substitute the value of 'x' back into one of the original equations. Let's use the first equation:
5x + 7y = 43
5(6.6) + 7y = 43
33 + 7y = 43
7y = 10

Divide both sides of the equation by 7, we find the value of 'y':
y = 10 / 7
y ≈ 1.4

So the solution to the system of equations is approximately x ≈ 6.6 and y ≈ 1.4.

2) Let's eliminate one variable by multiplying the first equation by 3 and the second equation by 9:
9x - 9y = 36 * 3
7y - 3x = -14 * 9

This gives us the following system of equations:
27x - 27y = 108
63y - 27x = -126

Adding the two equations together, we eliminate the variable 'x':
(27x - 27y) + (63y - 27x) = 108 + (-126)
-27y + 63y = -18

Combining like terms, we find the value of 'y':
36y = -18
y = -18 / 36
y = -0.5

Now, substitute the value of 'y' back into one of the original equations. Let's use the first equation:
9x - 9y = 36
9x - 9(-0.5) = 36
9x + 4.5 = 36
9x = 36 - 4.5
9x = 31.5

Divide both sides of the equation by 9, we find the value of 'x':
x = 31.5 / 9
x ≈ 3.5

So the solution to the system of equations is approximately x ≈ 3.5 and y ≈ -0.5.

Sure, I can help you solve these equations using the elimination method.

1)
To solve the system of equations using elimination:
Step 1: Multiply one or both equations by suitable numbers to make the coefficients of either x or y terms in one equation equal to the corresponding coefficients in the other equation.

Let's eliminate the y variable:
- Multiply the second equation by 7 so that the coefficients of y in both equations will be the same.
- The second equation becomes: -28x + 7y = 175.

Now, the equations are:
5x + 7y = 43
-28x + 7y = 175

Step 2: Add or subtract the two equations to eliminate one variable.
- Subtract the first equation from the second equation:
(-28x + 7y) - (5x + 7y) = 175 - 43
- Simplify and combine like terms:
-28x + 7y - 5x - 7y = 132
-23x = 132
- Divide both sides by -23:
x = -132 / -23
x = 5.74 (rounded to two decimal places)

Step 3: Substitute the value of x back into one of the original equations to solve for y.
Using the first equation: 5(5.74) + 7y = 43
28.7 + 7y = 43
7y = 43 - 28.7
7y = 14.3
y = 14.3 / 7
y = 2.04 (rounded to two decimal places)

Therefore, the solution to the system of equations is x = 5.74 and y = 2.04.

2)
To solve the second set of equations using elimination:

Step 1: Multiply one or both equations by suitable numbers to make the coefficients of either x or y terms in one equation equal to the corresponding coefficients in the other equation.

Let's eliminate the x variable:
- Multiply the first equation by 3 and the second equation by 9 so that the coefficients of x in both equations will be the same.
- The equations become:
27x - 27y = 108
27x - 21y = -126

Step 2: Add or subtract the two equations to eliminate one variable.
- Subtract the second equation from the first equation:
(27x - 27y) - (27x - 21y) = 108 - (-126)
- Simplify and combine like terms:
-27x + 27y - 27x + 21y = 108 + 126
48y = 234
- Divide both sides by 48:
y = 234 / 48
y = 4.875 (rounded to three decimal places)

Step 3: Substitute the value of y back into one of the original equations to solve for x.
Using the first equation: 9x - 9(4.875) = 36
9x - 43.875 = 36
9x = 36 + 43.875
9x = 79.875
x = 79.875 / 9
x = 8.875 (rounded to three decimal places)

Therefore, the solution to the system of equations is x = 8.875 and y = 4.875.