2x + 4y = 12 and y = x - 3. What is the solution to the system of equations?
Solution:
Given: Linear equations are
2x + 4y = 12 --- (1)
y = x - 3 --- (2)
Let us use the substitution method to solve the system of linear equations.
Substitute the equation (2) in (1)
2x + 4(x - 3) = 12
By further calculation,
2x + 4x - 12 = 12
6x = 12 + 12
6x = 24
Divide both sides by 6
x = 4
Substitute the value of x in equation (2)
y = 4 - 3
y = 1
Therefore, the solution to the system of equations is (4, 1).
2x + 4y = 12 and y = x - 3. What is the solution to the system of equations?
Summary:
2x + 4y = 12 and y = x - 3. The solution to the system of equations is (4, 1).
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