Question 158651
Solve the following simultaneous equations using the elimination method.
{{{system(7x - 11y = 1, 4x + 5y = 12)}}}
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To eliminate y, multiply the first equation by 5 and
the second equation by 11

{{{system(35x - 55y = 5, 44x + 55y = 132)}}}

Add vertically term by term:

{{{79x=137}}}

Divide both sides by 79

{{{x=137/79}}}

{{{system(7x - 11y = 1, 4x + 5y = 12)}}}

To eliminate x, multiply the first equation by -4 and
the second equation by 7

{{{system(-28x + 44y = -4, 28x + 35y = 84)}}}

Add vertically term by term:

{{{79y=80}}}

Divide both sides by 79

{{{y=80/79}}}

Answer {{{ matrix(1,5,"(",x,",",y,")")=matrix(1,5,"(",137/79,",",80/79,")")}}}