The price for 2 student tickets and 4 adult tickets to a play is $50. Adult tickets are $5 more than student tickets. write an the equation

2x + 4y = $50

x = $5, and y = $10

Step-by-step explanation:

let the price of student's ticket be represented by $x, and that of adult by $y. So that:

2x + 4y = $50  1

But, given that adult tickets are $5 more that student tickets.

i.e y = x + $5    2

Substitute equation 2 into 1, to have;

2x + 4(x + $5) = $50

2x + 4x + $20 = $50

6x = $30

x = $5

From equation 2,

y = 5 + 5

  = $10

Therefore, the price of student tickets is $5 and adult tickets is $10.

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step-by-step explanati∵∵∴∴on:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!