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alisha [4.7K]
2 years ago
9

Find the value of y when x equals 4. -3x + 9y = -57

Mathematics
2 answers:
ANTONII [103]2 years ago
4 0

Answer:

y = -5

Step-by-step explanation:

Isolate y:

-3x + 9y = -57

9y = -57 + 3x

y = (-57/9) + (3/9)x

Substitute for x:

y = (-57/9) + (3/9)(4)

y = (-57/9) + (12/9)

y = (-45/9)

y = -5

GalinKa [24]2 years ago
4 0

Answer:

\mathsf {y = -5}

Step-by-step explanation:

\textsf {Given :}\\\textsf {-3x + 9y = -57}

\textsf {Divide throughout by 3 :}

\mathsf {\frac{1}{3} \times (-3x + 9y) = \frac{1}{3} \times -57}

\mathsf {-x + 3y = -19}

\textsf {Substitute x = 4 :}

\mathsf {-(4) + 3y = -19}

\mathsf {3y = -15}

\textsf {Divide by 3 on both sides :}

\mathsf {\frac{3y}{3} = \frac{-15}{3} }

\mathsf {y = -5}

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