Solve by the elimination method:
0.3x-0.2y=4
0.4x+0.5y= -29/19 (fraction)??
Please Help I do not understand Algebra!!
to solve this equation by elimination method, you need to make sure that the number in each one of the equation is the same.
you have to pick a no that will fit.
4x0.3x-0.2y=4
3x0.4x+0.5y=-29/19
1.2x-0.8y=16
1.2x+1.5y=87/19
you then cross out the no that is the same and what you have let is:
-0.8y=16
+1.5y=87/19
then you subtract the remaining equation, so it will be:
-0.8y-(+1.5y)=2.3y
16-87/19
the answer you get will be divided by 2.3y and that is how you get the value of y
after you get the value of y, you substitute the value of y into one of the equation that was not multiplied by any no, which is the original equation, then you get the value of x .and yeah that's all. i hope this was helpful
4x-8=6
No problem! I'll explain how to solve this system of equations using the elimination method step by step.
First, let's write down the given system of equations:
Equation 1: 0.3x - 0.2y = 4
Equation 2: 0.4x + 0.5y = -29/19
To use the elimination method, we want to eliminate one variable (either x or y) by adding or subtracting the equations. In this case, it will be easier to eliminate the y variable.
Step 1: Multiply each term in Equation 1 by 5 and Equation 2 by 2 to eliminate decimals and make the coefficients of y equal:
5 * (0.3x - 0.2y) = 5 * 4
2 * (0.4x + 0.5y) = 2 * (-29/19)
Simplifying these equations, we have:
Equation 3: 1.5x - y = 20
Equation 4: 0.8x + y = -58/19
Now, we can add Equation 3 and Equation 4 together to eliminate the y variable:
(1.5x - y) + (0.8x + y) = 20 + (-58/19)
Simplifying this equation, we get:
2.3x = 20 - 58/19
To add the fractions, we need a common denominator:
20 = (20 * 19) / 19 = 380/19
Substituting this back into the equation, we get:
2.3x = 380/19 - 58/19
Now, subtracting the fractions, we have:
2.3x = (380 - 58) / 19 = 322/19
Step 2: Solve for x by dividing both sides of the equation by 2.3:
x = (322/19) / 2.3
Dividing fractions is the same as multiplying by the reciprocal, so we have:
x = (322/19) * (1/2.3)
Multiplying the numerators and denominators, we get:
x = 322/43.7
Simplifying the fraction as much as possible, we have:
x ≈ 7.387
Step 3: Substitute the value of x into either Equation 3 or Equation 4 to solve for y. Let's use Equation 3:
1.5x - y = 20
Substituting x = 7.387, we have:
1.5 * 7.387 - y = 20
Simplifying this equation, we get:
11.08 - y = 20
Now, let's solve for y by subtracting 11.08 from both sides of the equation:
-y = 20 - 11.08
Simplifying further, we have:
-y = 8.92
To isolate y, multiply both sides of the equation by -1:
y = -8.92
So, the solution to the system of equations is x ≈ 7.387 and y ≈ -8.92.
I hope this helps! Let me know if you have any further questions.