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3 years ago

13

"Delia is hosting a barbecue. She buys a total of 50 burgers and hot dogs for $90. Delia pays $2 per burger and $1.50 per hot do

g. Write a system of equations to find the number x of burgers and the number y of hot dogs Delia buys. Solve linear equation by substitution! I need severe help please begging anyone

1 answer:

leva [86]3 years ago

7 0

Let the amount of hot dogs and burgers purchased be H and B, then you should be able to solve te system of equations to determine the amount of hot dogs/burgers puchased. H+B=50___ 2HB+1.5=__

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Read 2 more answers

What vaule of x makes th question true? 3x+2(x-5)=50 a. 8 b.9 c.11 d.12

Ainat [17]

Hey Tierra7l,

Lets solve your equation together step by step.

$3x+2\left(x-5\right)=50$

$\mathrm{Expand}\:2\left(x-5\right):\quad 2x-10$

$\mathrm{Distribute\:parentheses\:using}:\quad \:a\left(b+c\right)=ab+ac$

$a=2,\:b=x,\:c=-5$

$2\cdot \:x+2\left(-5\right)$

$\mathrm{Apply\:minus-plus\:rules}$

$\:\:+\left(-a\right)=-a$

$2x-2\cdot \:5$

$\mathrm{Multiply\:the\:numbers:}\:2\cdot \:5=10$

$2x-10$

$3x+2x-10=50$

$\mathrm{Add\:similar\:elements:}\:3x+2x=5x$

$5x-10=50$

$\mathrm{Add\:}10\mathrm{\:to\:both\:sides}$

$5x-10+10=50+10$

$\mathrm{Simplify}$

$5x=60$

$\mathrm{Divide\:both\:sides\:by\:}5$

$\dfrac{5x}{5}=\dfrac{60}{5}$

$\mathrm{Simplify}$

$x=12$

Hope this helps,

AnthrαX <span> </span>

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