Question

Question 34 ptsConsider the system of equations4x + 5y - 213x - 10y = 15Multiply every term in one of the equations by some number so that the y terms will have opposite coefficients,Write the new equationEdit View Insert Format Tools Table12pt Paragraph1 B вI Ų Av ev qz vlov v Pay Bvl 81

Answer 1

`-8x-10y=-42`

Explanation:

We have the following system of equations

`\begin{gathered} 4x+5y=21 \\ 3x-10y=15 \end{gathered}`

If we want to make the coefficient of y equal, we must divide the two quotients, like this

`(-10)/(5)=-2`

Therefore we multiply by -2, the first equation

`\begin{gathered} -2\cdot4x+-2\cdot5y=-2\cdot21 \\ -8x-10y=-42 \end{gathered}`