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fgiga [73]
3 years ago
11

Can someone help me with system of equations?

Mathematics
2 answers:
umka21 [38]3 years ago
7 0

#1)

Answer:

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)

Answer:

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

lapo4ka [179]3 years ago
5 0

for the first set of equations, it’s easier to use substitution because both equations are already equal to <em>y. </em>

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)

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The equation of line is given as

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Where m is the slope and c is the y-intercept.

PQRS is a parallelogram. the position vector of Q R and S are 5i +7j, -3i-8j and -4i-6j.

Then the point of Q, R, and S will be (5, 7), (-3, -8), and (-4, -6).

Let the point P be (x, y).

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Then the equation will be

y = 1.444x – 3.667  …1

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By solving equation 1 and 2, we have

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The graph is given below.

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Using linear function concepts, it is found that:

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A <em>linear function </em>has the format given by:

y = mx + b

In which:

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The equation for the cost of h kilowatt hours (kWh) of electricity used in excess of 250 kWh is of:

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