Answer:
x = 3/2 ; y = −2/3
Step-by-step explanation:
6x − y = 29/3 ; 4x − 3y = 8
Solve 6x − y = 29/3 for y:
6x − y − 6x = 29/3 − 6x (Add -6x to both sides)
−y = −6x + 29/3
−y / −1 = (−6x+29/3) / −1 (Divide both sides by -1)
y = 6x − 29/3
Substitute 6x − 29/3 for y in 4x − 3y = 8:
4x − 3y = 8
4x − 3(6x − 29/3) = 8
−14x + 29 = 8 (Simplify both sides of the equation)
−14x + 29 − 29 = 8 − 29 (Add -29 to both sides)
−14x = −21
−14x / −14 = −21 / −14 (Divide both sides by -14)
x = 3/2
Substitute 3/2 for x in y = 6x − 29/3:
y = 6x − 29/3
y = 6(3/2) − 29/3
y = −2/3 (Simplify both sides of the equation)
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