The cost of one pizza is $8.5
Step-by-step explanation:
Let,
Cost of one pizza = x
Cost of one bread stick = y
According to given statement;
3x+2y=29.50 Eqn 1
2x+3y=23 Eqn 2
Multiplying Eqn 1 by 2
[tex]2(3x+2y=29.50)\\6x+4y=59\ \ \ Eqn\ 3[/tex]
Multiplying Eqn 2 by 3
[tex]3(2x+3y=23)\\6x+9y=69\ \ \ Eqn\ 4[/tex]
Subtracting Eqn 3 from Eqn 4
[tex](6x+9y)-(6x+4y)=69-59\\6x+9y-6x-4y=10\\5y=10[/tex]
Dividing both sides by 5
[tex]\frac{5y}{5}=\frac{10}{5}\\y=2[/tex]
Putting y=2 in Eqn 1
[tex]3x+2(2)=29.50\\3x+4=29.50\\3x=29.50-4\\3x=25.5[/tex]
Dividing both sides by 3
[tex]\frac{3x}{3}=\frac{25.5}{3}\\x=8.5[/tex]
The cost of one pizza is $8.5
Keywords: linear equation, elimination method
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