Algebraic math problem

Question

Algebraically identify the solution to the system of equations below

y = 2x +3

y -5x - 4

Answer 1

Use the Substitution method to solve the system of equations.

y = 2x +3

y - 5x -4

Solve one of the equations for x or y.

Let's solve the first one for y:

y = 2x + 3

Now let's substitute 2x +3 for y in the second equation to solve for x:

2x+3-5x=4 => -3x=4-3 => x=-1/3

Substitute -1/3 for x in either equation to solve for y. Let's choose the first one.

y = 2(-1/3)+3 => y = -2/3 + 3 => 3y = -2 + 9 => 3y = 7 and y = 7/3