Question

Solve using substitution.

y = 5x + 4
y = 4x + 2

Answer 1

To solve this system of equations using substitution, we can solve one equation for one variable and substitute it into the other equation.

Let's solve the first equation for y:
y = 5x + 4

Now substitute this expression for y into the second equation:
5x + 4 = 4x + 2

Next, we solve this linear equation for x:
5x - 4x = 2 - 4
x = -2

Now substitute this value of x into either equation to solve for y. Let's use the first equation:
y = 5(-2) + 4
y = -10 + 4
y = -6

So the solution to the system of equations is x = -2 and y = -6.