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natima [27]
2 years ago
14

2x + 3y = -9 -x + 4y = 10 Solve the system

Mathematics
1 answer:
Vladimir79 [104]2 years ago
4 0

Answer:

x = -6

y= 1

Step-by-step explanation:

make one of the variables equal to each other

4(2x+3y) = -9

3(-x+4y) = 10

subtract

8x+12y = -36

- -3x+12y =30

----------------------

11x = -66

x = -6

plug back in to find y

8(-6)+12y = -36

12y= 12

y = 1

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Megan and Heidi are making cookies for an upcoming bake sale. Megan is making chocolate chip cookies and Heidi is making sugar c
koban [17]

Answer:

Heidi (260 cookies)

Step-by-step explanation:

Megan's equation is given as y=8x, where x is the number of bags, and y the number of cookies:

#First calculate Heidi's total number of bags, cookies and cookies:

H_b=\sum{bags}\\\\=10+12+14+16\\\\=52 \ bags\\\\H_c=\sum{cookies}\\\\=50+60+70+80\\\\=260 \ cookies

#Given that both Heidi and Megan make the same number of bags of cookies, Megan's cookies totals to:

H_b=M_B=52 \ Bags\\\\M_c=y=8x, x=52\\\\y=8\times 52\\\\=416\\

Hence, Megan makes 416 cookies.

#From our calculations:

416>260\\\\M_c>H_c

Hence, Heidi makes the least number of cookies(260 cookies) compared to Megan's 416 cookies.

7 0
3 years ago
Which graph represents the solution set of the system of inequalities?
lidiya [134]

y < \dfrac{2}{3}x\\\\y=\dfrac{2}{3}x\\\\for\ x=0\to y=\dfrac{2}{3}(0)=0\to(0,\ 0)\\\\for\ x=3\to y=\dfrac{2}{3}(3)=2\to(3,\ 2)\\\\y\geq-x+2\\\\y=-x+2\\\\for\ x=0\to y=-0+2=2\to(0,\ 2)\\\\for\ x=2\to y=-2+2=0\to(2,\ 0)

y < \dfrac{2}{3}x

the dotted line. shadow under the line

y\geq-x+2

solid line. shadow above the line

Answer in the attachment (graph C).

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2 years ago
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