Solve each system using the method of your choice.
1. 7x+2y=17
2. 6x-5y=-9
3. y=4x-8
4. y=2x+10
5. 3x-6y=30
6. y=-6x+34
7. 3x+y=5
8. 15x+5y=2
9. 2m=-4n-4
10. 3m+5n=-3
11. 5x+y=0
12. 5x+2y=30
Thank you. (:
What are your answers
steve can you check my math when ur done??
Solve the system of equations and enter your answer for x and for y.
15x-4y=-5015x−4y=−50
3x-2y=-163x−2y=−16
To solve each system of equations, we will use the method of substitution, elimination, or graphing.
1. 7x + 2y = 17
6x - 5y = -9
Using the method of substitution:
Step 1: Solve one of the equations for one variable.
From equation 3, y = 4x - 8.
Step 2: Substitute the expression from Step 1 into the other equation.
7x + 2(4x - 8) = 17.
Simplify: 7x + 8x - 16 = 17.
Combine like terms: 15x - 16 = 17.
Step 3: Solve the equation from Step 2 for x.
15x - 16 = 17.
Add 16 to both sides: 15x = 33.
Divide by 15: x = 2.2.
Step 4: Substitute the value of x into either of the original equations to find y.
Using the first equation:
7(2.2) + 2y = 17.
Simplify: 15.4 + 2y = 17.
Subtract 15.4 from both sides: 2y = 1.6.
Divide by 2: y = 0.8.
The solution to this system is x = 2.2 and y = 0.8.
You can follow similar steps for the remaining systems by choosing the appropriate method (substitution, elimination, or graphing) depending on the given equations.
solve how?
There is no single pair of numbers for (x,y) which will work. They are the equations of lines. Any point on the line will satisfy the equation.
Now, if you want to solve each for y as a function of x, then just rearrange things until y is all alone on one side.
#7:
3x+y = 5
y = -3x+5
I suspect you have omitted some data.