Using the substitution method, the system of equation that is easily solved is:
c. y = 2x + 3
2x + y = 5
How to Solve A System of Equations Using the Substitution Method?
Using the substitution method to solve a system of equations is best when one of the equations have one isolated variable that we can simply plug its value into the second equation.
For example, given the system of equations:
y = 2x + 3 --> eqn. 1
2x + y = 5 --> eqn. 2
Substitute y = (2x + 3) into eqn. 2 and find x:
2x + y = 5 --> eqn. 2
2x + 2x + 3 = 5
4x + 3 = 5
4x = 5 - 3
4x = 2
x = 2/4
x = 1/2
Substitute x = 1/2 into eqn. 1 to find y
y = 2x + 3 --> eqn. 1
y = 2(1/2) + 3
y = 1 + 3
y = 4
From the above, we can see that the system of equations that is quite easy to solve using the substitution method is:
c. y = 2x + 3
2x + y = 5
The rest of the equations are quite different and not as straightforward as solving as this using the substitution method.
Learn more about system of equations on:
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