Solve each system by substitution

Question

Y = -3x + 4
Y = 4x - 10

Answer 1

To solve this system by substitution, we need to solve one equation for one variable and then substitute that expression into the other equation.

In this case, let's solve the first equation for y:

y = -3x + 4

Now, substitute this expression for y into the second equation:

-3x + 4 = 4x - 10

Next, solve this equation for x:

4x + 3x = 4 + 10

7x = 14

x = 2

Now, substitute this value of x back into the first equation to find y:

y = -3(2) + 4

y = -6 + 4

y = -2

Thus, the solution to the system of equations is x = 2 and y = -2.