Answer:
x = 1
y = -5/3
Step-by-step explanation:
x−3y=6; 4x−3y=9
Step 1: Solve x − 3y = 6 for x:
x − 3y + 3y = 6 + 3y ( Add 3y to both sides)
x = 3y + 6
Step 2: Substitute 3y + 6 for x in 4x − 3y = 9:
4x − 3y = 9
4(3y + 6)− 3y = 9
9y + 24 = 9 (Simplify both sides of the equation)
9y + 24 + −24 = 9 + −24 (Add -24 to both sides)
9y = −15
9y/9 = −15/9 (Divide both sides by 9)
y = −5/3
Step: Substitute
−5/3
for y in x = 3y + 6:
x = 3y + 6
x = 3(−53) + 6x = 1 (Simplify both sides of the equation)
