Question 316552
(1) {{{13x-2y=70}}}
(2) {{{2x-2y=4}}}
Divide both sides of (2) by {{{2}}}
(2) {{{x - y = 2}}}
Add {{{y}}} to both sides
(2) {{{x = y + 2}}}
Substitute this value for {{{x}}} in (1)
(1) {{{13*(y + 2) - 2y = 70}}}
(1) {{{13y + 26 - 2y = 70}}}
Subtract {{{26}}} from both sides
(1) {{{11y = 70 - 26}}}
(1) {{{11y = 44}}}
(1) {{{y = 4}}}
Now substitute this into (2)
(2) {{{2x - 2*4 = 4}}}
Add {{{8}}} to both sides
(2) {{{2x = 4 + 8}}}
(2) {{{2x = 12}}}
(2) {{{x = 6}}}
The solution is x = 6 and y = 4