Question 120848
1. {{{2x+y=7}}}
2. {{{2x-2y=-8}}}
Use equation 1 to get 2x in terms of y and then substitute into equation 2.
{{{2x+y=7}}}
{{{2x=7-y}}}
2. {{{2x-2y=-8}}}
{{{(7-y)-2y=-8}}}
{{{7-3y=-8}}}
{{{-3y=-15}}}
{{{highlight(y=5)}}}
Then from 1,
{{{2x+y=7}}}
{{{2x+5=7}}}
{{{2x=2}}}
{{{highlight(x=1)}}}
Check your answers.
1. {{{2x+y=7}}}
{{{2(1)+5=7}}}
{{{2+5=7}}}
{{{7=7}}}
True statement.
2. {{{2x-2y=-8}}}
{{{2(1)-2(5)=-8}}}
{{{2-10=-8}}}
{{{-8=-8}}}
True statement.
Your answers led to true statements.
They are good answers.