ayoismeisalex
09.01.2020 •
Mathematics
Can someone me with system of equations?
y = 5x + 7
y = 2x + 10
and
y = 2x + 18
9y = -2x+2
let me know if substitution or elimination is used.
Solved
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Ответ:
#1)
x=1 and y=12
Explanation:
y=5x+7
y=2x+10
This system should use substitution because the value of y is given in terms if x.
Substitution:
5x+7=2x+10
Solve:
3x=3
x=1
Substitute x to solve for y by plugging x into one if the original equations(doesn’t matter which one is used).
y=5x+7
y=5(1)+7
y=5+7
y=12
#2)
x=-8 and y=2
Explanation:
y=2x+18
9y=-2x+2
This system also uses substitution. The value of y us already given in terms if c in the first equations, so we will substitute in the second equation.
Substitute:
9(2x+18)=-2x+2
Solve:
18x+162=-2x+2
20x=-160
x=-8
Now that we have the value if x, plug it into one of the original equations(doesn’t matter which equation) and substitute to find y.
y=2x+18
Substitute:
y=2(-8)+18
Solve:
y=-16+18
y=2
Ответ:
for the first set of equations, it’s easier to use substitution because both equations are already equal to y.
5x + 7 = 2x + 10
- 7 - 7
5x = 2x + 3
- 2x = - 2x
3x = 3
/3 /3
x = 1
now that you solved for x, plug 1 into an equation to find y
y = 5(1) + 7
y = 5 + 7
y = 12
so the answer is (1,12)
for the next one, use elimination because there is a positive/negative +-2x pair
y = 2x + 18
9y = -2x + 2
the 2x and the -2x will cancel out. add the other terms
10y = 20
divide both sides by 10
y = 10
now that we have the y term, plug it in to solve for x
10 = 2x + 18
-18 -18
-8 = 2x
-4 = x
the answer is (-4,10)
Ответ:
A.
Step-by-step explanation:
Beacuse altogether means to add. Hope this helps:> have a nice day!!