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

Systems of equations

Write $$y=13x+7$$ in standard form using integers.

a. $$−2x+3y=21$$

b. $$3x−2y=21$$

c. $$−2x−3y=21$$

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.