3 years ago

Solve 7m+2n=21 and 10m+4n=-10 with substitution

1 answer:

3 0

I hope this helps you

10m+4n= -10

5m+2n= -5

-5m-2n= 5

7m+2n-5m-2n= 21+5

5m=26 m= 26/5

5.26/5+2n= -5

26+2n= -5

2n= -31

n= -31/2

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Option B. 44 is the correct answer

Step-by-step explanation:

Let l be the number of large pizzas and s be the number of small pizzas

Then according to the given statement the equations will be:

$l+s = 100\ \ \ Eqn\ 1\\11l+7.5s = 848\ \ \ Eqn\ 2$

From equation 1

$l = 100-s$

Putting in equation 2

$11(100-s)+7.5s = 848\\1100-11s+7.5s = 848\\-3.5s+1100 = 848\\-3.5s = 848-1100\\-3.5s = -252\\\frac{-3.5s}{-3.5} = \frac{-252}{-3.5}\\s = 72$

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Option B. 44 is the correct answer

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