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Question 55382This question is from textbook Beginning and Intermediate Algebra
: Please solve the system of linear equation by the addition method.
x+2y=1
3x+4y=0
This question is from textbook Beginning and Intermediate Algebra
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Please solve the system of linear equation by the addition method.
:
x+2y=1
3x+4y=0
:
Choose a value to mult one of the equations, that will eliminate one of the variables when the equations are added together, here we can mult the 1st equation by -2; then we will have:
:
-2x - 4y = -2
3x + 4y = 0
------------- add
x + 0 = -2
x = -2
:
Find the value of y using the 1st equation; substitute -2 for x
-2 + 2y = 1
2y = 1 + 2
y = 3/2
y + +1.5
:
Check the two solutions by sustitution in the 2nd equation:
3(-2) + 4(1.5) = 0
-6 + 6 = 0
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