You have $2.40 to spend on grapes and bananas. The equation would be 1.2x+0.8y=2.4, where x is the number of pounds of grapes, and y is the number of poun
of bananas
Interpret the x and y intercepts.

Respuesta :

Answer:

1.2x + 0.8y = 2.4

x = 5/3

y = 0.5

(please give brain if this helps or is correct)

Step-by-step explanation:

to solve an equation with 2 missing variable we must simplify then solve the equation

step 1: simplify the equation

ex: 1.2x + 0.8y = 2.4   (0.8y = -1.2x + 2.4)

step 2: divide all numbers by 0.8

ex: 0.8y/0.8 = -1.2x/0.8 + 2.4/0.8   (y = -1.5x + 3)

step 3: subtract 3 from both sides of the equation

ex: y - 3 = -1.5x + 3 - 3   (-3y = -1.5x)

step 4: divide both sides of the equation by -3

ex: -3y/-3 = -1.5x/-3   (y = 0.5)

step 5: plug in 0.5 into y then solve the original equation to find x

ex: 1.2x + 0.8(0.5) = 2.4

step 6: multiply 0.8 by 0.5

ex: 1.2x + 0.8(0.5) = 2.4   (1.2x + 0.4 = 2.4)

step 7: subtract 0.4 from each side of the equation

ex: 1.2x + 0.4 - 0.4 = 2.4 - 0.4   (1.2x = 2.0) or (1.2x = 2)

step 8: divide 1.2 from each side of the equation

ex: 1.2x/1.2 = 2/1.2   (x = 5/3)

step 9: input 5/3 into x and keep 0.5 as y then solve to check your answer

ex: 1.2(5/3) + 0.8(0.5) = 2.4

2 + 0.4 = 2.4

2.4 = 2.4 (if both sides of the equation have the same answer like 2.4 = 2.4 then you answer is true)