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=
= ![fraction numerator 14 minus 2 x over denominator 2 end fraction](data:image/png;base64,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)
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.