2x-9y=14 x=-6y+7 x= y=

Substitute x in first equation: Substitute the value of x from the second equation into the first equation. Given the second equation x = -6y + 7, we can replace x in the first equation with -6y + 7. So, 2x - 9y = 14 becomes 2(-6y + 7) - 9y = 14.Distribute 2 across terms: Distribute 2 across the terms inside the parentheses. 2(-6y + 7) - 9y = 14 -12y + 14 - 9y = 14Combine like terms: Combine like terms. -12y - 9y + 14 = 14 -21y + 14 = 14Isolate term with y: Subtract 14 from both sides to isolate the term with y. -21y + 14 - 14 = 14 - 14 -21y = 0Divide both sides: Divide both sides by -21 to solve for y. -21y / -21 = 0 / -21 y = 0Substitute y back for x: Substitute the value of y back into the second equation to solve for x. x = -6y + 7 x = -6(0) + 7 x = 0 + 7 x = 7

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$2 x-9 y=14$ $\newline$ $x=-6 y+7$ $\newline$ $x=$ $\newline$ $y=$

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Algebra 1

Solve linear equations with variables on both sides

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2 x-9 y=14

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x=-6 y+7

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x=

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y=

Substitute $x$ in first equation: Substitute the value of $x$ from the second equation into the first equation. $\newline$ Given the second equation $x = -6y + 7$ , we can replace $x$ in the first equation with $-6y + 7$ . $\newline$ So, $2x - 9y = 14$ becomes $2(-6y + 7) - 9y = 14$ .
Distribute $2$ across terms: Distribute $2$ across the terms inside the parentheses. $\newline$ $2(-6y + 7) - 9y = 14$ $\newline$ $-12y + 14 - 9y = 14$
Combine like terms: Combine like terms. $\newline$ $-12y - 9y + 14 = 14$ $\newline$ $-21y + 14 = 14$
Isolate term with y: Subtract $14$ from both sides to isolate the term with y. $\newline$ $-21y + 14 - 14 = 14 - 14$ $\newline$ $-21y = 0$
Divide both sides: Divide both sides by $-21$ to solve for $y$ . $\frac{-21y}{-21} = \frac{0}{-21}$ $y = 0$
Substitute $y$ back for $x$ : Substitute the value of $y$ back into the second equation to solve for $x$ . $\newline$ $x = -6y + 7$ $\newline$ $x = -6(0) + 7$ $\newline$ $x = 0 + 7$ $\newline$ $x = 7$