x = -1, y = -4
Step-by-step explanation:
Let's solve our system of equations by substitution.
y = 5x + 9y = βx + 3
Step: Solve = 5x + 9 for y:
y = 5x + 9
Step: Substitute 5x + 9 for y in y = βx + 3:
y = βx + 3
5x + 9 = βx + 3
5x + 9 + x = βx + 3 + x (Add x to both sides)
6x + 9 = 3
6x + 9 + β9 = 3 + β9 (Add -9 to both sides)
6x = β6
6x/ 6 = β6/6(Divide both sides by 6)
x = β1
Step: Substitute β1 for x in y = 5x + 9:
y = 5x + 9
y = (5)(β1) + 9
y = 4(Simplify both sides of the equation)
So our answers are y = -4 and x = -1.