Question

y = - x + 7 y = 4x - 3 linear equations

Answer 1

To solve this system of linear equations, we can use the method of substitution or elimination.

We'll use the method of substitution.

We have the equations:

y = -x + 7
y = 4x - 3

We can substitute the value of y from the first equation into the second equation.

Substituting -x + 7 for y in the second equation:

-x + 7 = 4x - 3

Now, we can solve for x:

Add x to both sides:
7 = 5x - 3

Add 3 to both sides:
10 = 5x

Divide by 5:
x = 2

Now, substitute x = 2 back into either of the original equations to solve for y:

Using the first equation:
y = -x + 7
y = -2 + 7
y = 5

Therefore, the solution to the system of equations is x = 2 and y = 5.