The following system of equation can be solved by first substituting the dependent variable in the other equation . The solution yields x = -1.5 and y = 6.5 .
The two equations are given as -
4x-2y=7
3x-3y=15
First substituting the value of x from the first equation and then putting that value in the second equation for the following system of equation.
From first equation,
⇒ 4x = 7 + 2y
∴ x = (7 + 2y)/4
Putting this value of x in second equation,
⇒ 3*(7 + 2y)/4 - 3y = 15
⇒ 3*(7 + 2y) - 12y = 60
⇒ 21 + 6y - 12y = 60
⇒ -6y = 39
∴ y = -6.5
∴ x = (7 + 2y)/4 = -1.5
Thus x = -1.5 and y = -6.5
Therefore, the following system of equation can be solved by first substituting the dependent variable in the other equation . The solution yields x = -1.5 and y = 6.5 .
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