Answer:
[j, k] →[9, 5]
[g, h] → [4, 2]
[x, y] → [−4, −4]
Explanation:
{4j - 2k = 26
{5j - 2k = 35
−⅘[5j - 2k = 35]
{4j - 2k = 26
{−4j + 1⅗k = −28 >> NEW EQUATION
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−⅖k = −2
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−⅖ −⅖
k = 5 [Plug this back into both equations above to get the j-value of 9]; 9 = j
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{6g + 8h = 40
{−6g + 2h = −20
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10h = 20
h = 2 [Plug this back into both equations above to get the g-value of 4]; 4 = g
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{4x - 9y = 20
{2x - 6y = 16
−½[4x - 9y = 20]
{−2x + 4½y = −10 >> NEW EQUATION
{2x - 6y = 16
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−1½y = 6
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−1½ −1½
y = −4 [Plug this back into both equations above to get the x-value of −4]; −4 = x
** Tip: Keep using the Elimination Method until you really have to use the Substitution Method. Use the Substitution Method only when one variable is given to you in one of or both equations, meaning that at least one of the equations has to be in Slope-Intercept Form [y = mx + b].
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