Mathematics
Grade10
Easy
Question
Solve the following using the substitution method and find the value of x and y:
-5x + 3y = -22
-5x + y = -24
- 5, 1
- 5, 2
- 5, 3
- 5, 9
Hint:
The linear equation in two variable is an equation with two variable and degree one.
The correct answer is: 5, 1
Step 1 of 1:
We have given two equations
-5x + 3y = -22....(i)
-5x + y = -24......(ii)
Rewrite first equation and then substitute
3y = 5x – 22
y= ![fraction numerator 5 x minus 22 over denominator 3 end fraction](data:image/png;base64,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)
Now substitute the value of y in 2nd equation.
= -24
= -24
-10x – 22 = -72
-10x = -50
x = 5
Now put the value of x in 2nd equation
-5(5) + y = -24
y = -24 + 25
=1
In the substitution method, we first write one variable in the form of another variable.