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IrinaK [193]
3 years ago
11

2x + y = 5 , x + y = 4Solve the system of linear equations.

Mathematics
1 answer:
kumpel [21]3 years ago
8 0

2x+y=5

x+y=4


We need to solve 2x+y=5 for y

let's start by adding -2x to both sides

2x+y-2x=5-2x

y=-2x+5

Now substitute -2x+5 for y in x+y=4

x+y=4

x-2x+5=4

-x+5 =4

Add -5 to both sides so we can find the value for x

-x+5-5=4-5

-x=-1

We know that x can not stay with the negative sign so to eliminate that we need to divide both sides by -1

-x/-1= -1/-1

x=1

Now we have the value for x :)

We need to find the value for y by substitute 1 for x in y=-2x+5

y=-2x+5

y= (-2)(1)+5

y= -2+5

y= 3

Final answer : x=1 and y=3

                          (1,3)


I hope that's help :)

Please let me know by rating my answer and a Thanks :0

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motikmotik
Ur gonna have to pick an equation and solve for a variable.

2x - 2y = 6
2x = 2y + 6 ...divide everything by 2 because u want x by itself
x = y + 3

now we sub y + 3 in for x in the other equation
14x - 2y = 78
14(y + 3) - 2y = 78...distribute thru the parenthesis
14y + 42 - 2y = 78...subtract 42 from both sides, cancelling the 42 on the left
        -42          -42
-----------------------
14y - 2y = 36 ...simplify
12y = 36...divide by 12 on both sides, cancelling out the 12 on the left
y = 36/12
y = 3

now , we already know that x = y + 3...and we know y = 3...so sub in 3 for y and solve for x
x = y + 3
x = 3 + 3
x = 6

solution is (6,3)

it is always a good idea to check ur answer by subbing it into one or both of the equations to see if it is correct
2x - 2y = 6......(6,3)...x = 6 and y = 3
2(6) - 2(3) = 6
12 - 6 = 6
6 = 6 (correct)

so yes, ur solution is (6,3)
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