Answer:
the cost of one hot chocolate is $2.
Step-by-step explanation:
Let x be the hot chocolate cost and y be the newspaper cost.
Given:
A newspaper and three hot chocolates cost $7
So, the equation is
[tex]3x+y=7[/tex]--------(1)
Two newspapers and two hot chocolates cost $6
So, the second equation is.
[tex]2x+2y=6[/tex]---------(2)
Find one hot chocolate cost?
Solve equation 1 for y.
[tex]3x+y=7[/tex]
[tex]y=7-3x[/tex]
Put y value in equation 2
[tex]2x+2(7-3x)=6[/tex]
[tex]2x+14-6x=6[/tex]
[tex]14-4x=6[/tex]
[tex]-4x=6-14[/tex]
[tex]-4x=-8[/tex]
negative sign is cancelled both side.
[tex]x=\frac{8}{4}[/tex]
[tex]x=2[/tex]
Therefore, the cost of one hot chocolate is $2.
