Question 258796
Here are the original equations
(i) {{{(1/4)x - (1/11)y = -9/44}}}
(ii) {{{(1/6)x - (1/13)y = -1/26}}}
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step 1 - multiply (i) by 44
multiply (ii) by 78 to get
(iii) {{{11x - 4y = -9}}}
(iv) {{{13x - 6y = -3}}}
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step 2 - multiply (iii) by 3
multiply (iv) by -2
(v) {{{33x - 12y = -27}}}
(vi) {{{-26x + 12y = 6}}}
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step 3 - add (v) and (vi) together to get
(vii) {{{7x = -21}}}
{{{x = -3}}}
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solve for y to get
(viii) {{{-33 - 4y = -9}}}
{{{-4y = 24}}}
{{{y = -6}}}
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so, (-3,-6)