We have trapezoid with congruent legs.
30x + 11y = 2x + 3
28x +11y = 3
Also we have
30x + 11y = 12
We got 2 equations:
30x + 11y = 12
28x +11y = 3 (*-1) -----> -28x -11y = -3
30x + 11y = 12
<u> -28x -11y = -3</u>
2x = 9
x=9/2
30x + 11y = 12 ------> 30*9/2 +11y =12 ------> 135+11y =12, ---> 11y = - 123,
y= - 123/11
Answer:
The cost of one taco is $0.87 and the cost of one enchilada is $1.16
Step-by-step explanation:
Let the cost of tacos be X
and cost of enchiladas be y
So, by using given data, we have following equations
3X + 2Y = 4.93 (1)
2X + 4Y = 6.38 (2)
So, first multiply 1st equation by 2 and 2nd equation by 3, then subtracting 1st equation by 2nd.
= 2 × ( 3X + 2Y = 4.93) (1)
= 3 × (2X + 4Y = 6.38) (2)
= - (6X + 4Y = 9.86) (1)
= 6X + 12y = 19.14 (2)
= 8Y = 9.28
Y = 9.28 ÷ 8 = 1.16
By putting the value of Y in equation 1, we get
3X + 2(1.16) = 4.93
3X + 2.32 = 4.93
X = 2.61 ÷ 3 = 0.87
Hence, the cost of one taco is $0.87 and the cost of one enchilada is $1.16.
