Review the graphs of a system of two linear equations in two variables: x−5y=7 and 3x−2y=−4 . Find the solution to both equations. (1 point) The intersection point is you are wrong

Answer 1

To find the solution to the system of equations x - 5y = 7 and 3x - 2y = -4, we can use the method of substitution or elimination.

Subtract the first equation from the second equation:

3x - 2y = -4
- (x - 5y = 7)
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2x + 3y = -11

Now we have a new equation: 2x + 3y = -11

Next, we can solve the system of equations:

x - 5y = 7 (multiply by 2)
2x - 10y = 14 (multiply by -1)
- 2x - 3y = 11

Add the two equations together:

-13y = 25
y = -25/13

Now, substitute y back into one of the original equations, such as x - 5y = 7:

x - 5(-25/13) = 7
x + 125/13 = 7
x = 7 - 125/13
x = 91/13

Therefore, the solution to the system of equations is x = 91/13 and y = -25/13.