Solve using substitution. y = –4x + 10 y = –3x + 5

Answer 1

To solve the system of equations using substitution, we can equate the expressions for y and solve for x.

From the first equation, we have:
y = -4x + 10

We can substitute this expression for y in the second equation:
-4x + 10 = -3x + 5

Next, we can solve for x. Subtracting -3x from both sides of the equation gives:

-4x + 3x + 10 = 5
(-4x + 3x) + 10 = 5
-1x + 10 = 5
-1x = 5 - 10
-1x = -5
x = -5/-1
x = 5

Now that we have found the value of x, we can substitute it back into either of the original equations to solve for y. We will use the first equation:

y = -4x + 10
y = -4(5) + 10
y = -20 + 10
y = -10

Therefore, the solution to the system of equations is x = 5 and y = -10.