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Solve for x:3x+4y=85; 6x+7y=20
The solution of the system of linear equations in two variables can be obtained by various methods.
We will be using the elimination method to solve for x and y respectively.
Answer: The solution for x and y for x:3x+4y=85; 6x+7y=20 are -515/3 and 150 respectively.
Let's evaluate the equations
Explanation:
The given equations are:
3x + 4y = 85 -------------> equation 1
6x + 7y = 20 -------------> equation 2
Multiply the equation (1) by 2 and then subtract it from equation (2)
[ 3x + 4y = 85 ] × 2 ⇒ 6x + 8y = 170
Here we are eliminating x by subtracting the equations
6x + 7y = 20
(-) 6x + 8y = 170
-y = -150
⇒ y =150
Let us substitute the value of y in equation (1)
3x + 4y = 85
⇒ 3x + 4(150)= 85
⇒ 3x = 85 - 4(150) = 85 - 600
⇒ 3x = 85 - 600
⇒ 3x = - 515
⇒ x = -515/3 = -171.67
Thus, the solution to the given set of equations are x = -171.67 or -515/3 and y = 150
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