Question

5x-7y= -24, x= -3y+4

Answer 1

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Answer 2

To solve this system of linear equations, you can use either the substitution method or the elimination method. I'll show you how to solve it using the substitution method:

Given equations:

1. 5x - 7y = -24
2. x = -3y + 4

First, solve equation (2) for x:

x = -3y + 4

Now, substitute this expression for x into equation (1):

5(-3y + 4) - 7y = -24

Now, distribute the 5 on the left side of the equation:

-15y + 20 - 7y = -24

Combine like terms:

-22y + 20 = -24

Next, isolate the variable y by subtracting 20 from both sides of the equation:

-22y = -24 - 20 -22y = -44

Now, divide both sides by -22 to solve for y:

y = (-44) / (-22) y = 2

Now that you have the value of y, you can substitute it back into equation (2) to find the value of x:

x = -3(2) + 4 x = -6 + 4 x = -2

So, the solution to the system of equations is: x = -2 y = 2