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NeX [460]
3 years ago
10

Find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8

Mathematics
1 answer:
Akimi4 [234]3 years ago
7 0

Answer:

The solution to the system of equation is: (-2,3)

Step-by-step explanation:

We need to find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8

I am placing steps for each point given

1. Isolate x in the first equation:

First equation is:

x+3y=7

Isolating x:

x=7-3y

2. Substitute the value for x into the second equation:

Second equation is:

2x+4y=8

Putting value of x: x=7-3y

2(7-3y)+4y=8

3. Solve for y:

2(7-3y)+4y=8

Multiply 2 with terms inside the bracket

14-6y+4y=8

-2y=8-14

-2y=-6

y=-6/-2

y=3

So, we get value of y: y=3

4. Substitute y into either original equation:

Putting value of y: y=3 in equation 1

x+3y=7

x+3(3)=7

x+9=7

x=7-9

x=-2

So, we get value of x: x=-2

5. Write the solution as an ordered pair:

After solving the equation we get:

x = -2 and y = 3

The ordered pair is: (-2,3)

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Mae Ling earns a weekly salary of $365 plus a 7.5% commission on sales at a gift shop. How much would she make in a work week if
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Answer:

$732.5

Step-by-step explanation:

Mae Ling earns a weekly salary of $365 which means salary per week is $365

Then plus a 7.5% commission on sales at a gift shop if she sold $4,900 worth of merchandise, which means additional

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The total she make will be

367.5+365

=$732.5

Therefore,she will make $732.5 in a work week if she sold $4,900 worth of merchandise

6 0
3 years ago
How would you graph, y=-x-2
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6 0
3 years ago
The vertex of the graph of a quadratic function is (3, 1) and the y-intercept is (0, 10). Which of the following is the
pishuonlain [190]

Answer:

C. y = x² - 6x + 10

Step-by-step explanation:

Formula f(x)=a(x-h)^2+k (h,k) is vertex

Y=a (x-3)^2+1

Plug in y intercept

10=a (0-3)2+1

10=-3^2a+1

10=9a+1

9=9a

A=1

Y=(x-3)2 +1

Y=x2-6x+9+1

Y=x2-6x+10

brainly.com/question/3584775#citedsource

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3 years ago
Read 2 more answers
What is 7 1/2 ÷ by 0.50​
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