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Solve for y and place a point where the solution of the following system occurs: 4x-9y=18&-2x+2y=16

User Dkar
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1 Answer

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To find the values of x and y that satisfy both equations, we need to solve these two equations simultaneously. This is a system of equations that can be solved using several methods. One easy method is to use the method of substitution or elimination.

First, observe the two equations:

1) 4x - 9y = 18
2) -2x + 2y = 16

We can observe that if we multiply the second equation by 2, it will result in the equation having the same coefficient for x as the first equation:

-4x + 4y = 32

Now we have:

1) 4x - 9y = 18
2) -4x + 4y = 32

We can add these two equations, which will eliminate x:

4x - 9y - 4x + 4y = 18 + 32
-5y = 50

Dividing each side by -5, we find:

y = -10

Now that we have y, we can substitute -10 for y in either of the original equations. Using the first equation:

4x - 9*(-10) = 18
4x + 90 = 18
4x = -72
x = -72 / 4
x = -18

Therefore, the solution to this system of equations is x = -18 and y = -10. That is the point where the lines represented by these two equations intersect.

User Razi Abdul Rasheed
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8.8k points
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