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Solve the system of equations by the addition method.
Choose one answer.
a. (2, 1)
b. (2, 1)
c. (2, 1)
d. (2, 1)
 2 years ago
 2 years ago
Solve the system of equations by the addition method. Choose one answer. a. (2, 1) b. (2, 1) c. (2, 1) d. (2, 1)
 2 years ago
 2 years ago

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gandalfwizBest ResponseYou've already chosen the best response.1
THe addition method is adding one term to another to get a variable to cancel out.
 2 years ago

gandalfwizBest ResponseYou've already chosen the best response.1
You can multiply the equations by various numbers first to get the variables just right so they cancel
 2 years ago

gandalfwizBest ResponseYou've already chosen the best response.1
It doesn't matter what variable we choose to cancel out. Let's do x
 2 years ago

gandalfwizBest ResponseYou've already chosen the best response.1
We need the number in front of the first x to be the opposite of the second x, like 5, 5, or 3, 3, so they'll add to zero.
 2 years ago

gandalfwizBest ResponseYou've already chosen the best response.1
Lets multiply the first equation by 5 and the second one by 3 so we'll get a 15x and a 15x
 2 years ago

gandalfwizBest ResponseYou've already chosen the best response.1
5(3x+7y=1) 15x+35y=5
 2 years ago

gandalfwizBest ResponseYou've already chosen the best response.1
second equation: 3(5x4y=14) 15x+12y=42
 2 years ago

gandalfwizBest ResponseYou've already chosen the best response.1
Do you see what I did there?
 2 years ago

gandalfwizBest ResponseYou've already chosen the best response.1
kk... now u just add the equations together. 15x+35y=5 + 15x=12y=42
 2 years ago

gandalfwizBest ResponseYou've already chosen the best response.1
(4 second equation: supposed to be 15x+12y=42)
 2 years ago

gandalfwizBest ResponseYou've already chosen the best response.1
so. 15x+15x=0. 35y+12y=47y 5+42=47 0+47y=47
 2 years ago

gandalfwizBest ResponseYou've already chosen the best response.1
Now just solve for y. 47y=47 y=1
 2 years ago

gandalfwizBest ResponseYou've already chosen the best response.1
Now that u know what y is, plug it back into an equation (it doesn't matter which) and solve for x
 2 years ago

gandalfwizBest ResponseYou've already chosen the best response.1
3x+7y=1 3x+7(1)=1 3x7=1 3x=6 x=2
 2 years ago

gandalfwizBest ResponseYou've already chosen the best response.1
It looks like you want your final answer to be an ordered pair, like a point on a graph. a point is always in the form (x,y), so your final answer is 2,1
 2 years ago
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