Mathematics
Grade10
Easy
Question
Solve the following using the substitution method and find the value of x and y:
-2x - 2y = -14
-5x – y = -23
- 1, 2
- 3, 4
- 2, 1
- 4, 3
Hint:
The linear equation in two variable is an equation with two variable and degree one.
The correct answer is: 4, 3
Step 1 of 2:
We have given two linear equations
-2x – 2y = -14.....(i)
-5x – y = -23......(ii)
Rewrite the equation (i)
-2y = -14 + 2x
y=
= 
Now substitute the value of y in 2nd equation
-5x -
= -23
= -23
-8x – 14 = - 46
-8x = - 46 + 14
-8x = - 32
x = 4
Step 2 of 2:
Now the value of x in 1st equation
-5(4) – y = - 23
-20 – y = -23
y = 3
In the substitution method, we first write one variable in the form of another variable.