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Mathematics

Grade-8

Easy

Question

Solve the system of equations using elimination.
3x + 2y = -13 and -3x+y= 25

x = -7 and y = 4
x = 7 and y = 3
x = 5 and y = 1
x = 1 and y = 2

hint Hint:

The Linear Combination Method, aka The Addition Method , aka The Elimination Method. Add (or subtract) a multiple of one equation to (or from) the other equation, in such a way that either the x-terms or the y -terms cancel out. Then solve for x (or y, whichever's left) and substitute back to get the other coordinate.

The correct answer is: x = -7 and y = 4

There are different methods for solving simultaneous linear Equations:
I. Elimination of a variable
II. Substitution
III. Cross-multiplication
IV. Evaluation of proportional value of variables
Here, we will be using Elimination of a variable method.
Here, we have 2 equations
3x + 2y = -13 (1)
-3x+y= 25 can also be written as 3x - y = -25 (2)
Substracting equation(1) from equation (2), we get:
3x + 2y = -13
-
3x – y = -25
___________
= 3y =12
y= 4
Substitute the value of y in equation (2), we get:
3x -(4) = -25
x= -7
Thus, (x, y) = (-7, 4)

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