What number would you need to multiply the first equation by to eliminate the y-variable when solving the system of equations by elimination? $3x - 2y = 0$ $9x + 8y = 7$
Added by Hannah C.
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The coefficient of y in the first equation is -2, and the coefficient of y in the second equation is 8. The least common multiple of 2 and 8 is 8. To make the coefficients of y opposites, we need to multiply the first equation by 4. Show more…
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a. By what nonzero constant would the second equation be multiplied to eliminate the $x$ variable from the system of equations? $$\begin{array}{l} 3 x-4 y=8 \\ x+5 y=-2 \end{array}$$ b. By what nonzero constant would the first equation be multiplicd to eliminate the $y$ variable from the system of equations? $$\begin{aligned} 3 x-y &=8 \\ -8 x+5 y &=12 \end{aligned}$$
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Use the elimination method to solve the system. $$\begin{aligned}&2 x-3 y=7\\&6 x-9 y=1\end{aligned}$$
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