Solve the following system of equations for x and y. −7x + 3y = 22 −3x - 4y = −4
Mathematics · High School · Tue Nov 03 2020
Answered on
We have,
−7x + 3y = 22 …..(1)
−3x - 4y = −4 …..(2)
Using elimination method:
Multiplying equation by 4 and multiplying equation 2 by 3 we get
-28x + 12y = 88 ….(3)
-9x - 12 y = -12 ….(4)
Now, adding equation 3 and 4, we get
-28x + 12y - 9x - 12y = 88 - 12
-37x = 76
x = - 76/37
Now, putting value of x in 4, we get
-9(-76/37) -12y = -12
684/37 - 12y = -12
-12y = -12 - 684/37
-12y = (-444 - 684)/37
-12y = -1128/37
y = -1128/37 * (-12)
y = 94/37
Thus, value of x and y are -76/37 and 94/37 respectively.