The following steps will be useful to solve a system of linear equations by substitution method.
Step 1 :
In the given two equations, solve one of the equations either for x or y.
Step 2 :
Substitute the result of step 1 into other equation and solve for the second variable.
Step 3 :
Using the result of step 2 and step 1, solve for the first variable.
Solve each of the following systems of linear equations by substitution method.
Problem 1 :
y = 3x
5x + y = 24
Solution :
Problem 2 :
y = 5 - 2x
5x - 6y = 21
Solution :
Problem 3 :
y = 2x + 5
3x - y = 4
Solution :
Problem 4 :
x = 8 + 3y
2x - 5y = 8
Solution :
Problem 5 :
3x + 2y = 71
y = 4 + 2x
Solution :
Problem 6 :
4x - 5y = 92
x = 7y
Solution :
Problem 7 :
y = 3x + 8
x = y
Solution :
Problem 8 :
8x + 3y = 26
2x = y - 4
Solution :
Problem 9 :
x - 7y = 13
3x - 5y = 23
Solution :
Problem 10 :
3x + y = 19
2x - 5y = -10
Solution :
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