Question

Write y=13x+7 in standard form using integers.a. −2x+3y=21∣c∣−2x−3y=21b. 3x−2y=21

Systems of equations
ANSWERED
asked 2021-06-23

Write \(y=13x+7\) in standard form using integers.

a. \(−2x+3y=21\)

b. \(3x−2y=21\)

c. \(−2x−3y=21\)

Answers (1)

2021-06-24

The standard form is \(Ax+By=C\).
Multiply both sides of the equation by 3:
\(3(y)=3(\frac{2}{3x}+7)\)
\(3y=2x+21\)
Subtract 2x from both sides: \(3y−2x=2x+21−2x\)
\(3y−2x=21\)
\(−2x+3y=21\)
which is choice a.

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