Answer: (2, -5) (light blue answer choice)
Solving by substitution
−7x+y=−19;−2x+3y=−19
−7x+y+7x=−19+7x (Add 7x to both sides)
y=7x−19
Step: Substitute7x−19 for y in −2x+3y=−19:
−2x+3y=−19
−2x+3(7x−19)=−19
19x−57=−19 (Simplify both sides of the equation)
19x−57+57=−19+57 (Add 57 to both sides)
19x=38
19x/19 = 38/19 (Divide both sides by 19)
x=2
Step: Substitute 2 for x in y=7x−19:
y=7x−19
y=(7)(2)−19
y= −5 (Simplify both sides of the equation)
Therefore: x = 2 and y = −5
