Question 692125
5x-3y=-4
x+2y=7
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Using substitution, solve for y
-3y = -4 - 5x
y = {{{4/3 + (5/3)x}}}  ==> the negative divided by a negative cancel out
then, substitute
x + 2({{{4/3+(5/3)x}}} = 7 ==> distribute the 2
x + {{{8/3 + (10/3)x}}} = 7 ==> multiply both sides by 3 to remove the fraction
3x + 8 + 10x = 21 ==> combine like terms
13x = 21 - 8
13x = 13
x = 1
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Rearrange x+2y=7 to solve for x
x = 7-2y, then substitute
5(7-2y) - 3y = -4 ==> distribute the 5
35 - 10y - 3y = -4
-13y = - 4 - 35
-13y = -39
y = 3
...
Solution
({{{highlight_green(1)}}},{{{highlight_green(3)}}})
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