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2 years ago

A-3b=4;2a=6b-9 Answer by elimination. Please include how you got to the solution. Apparently there is a solution to this problem

Mathematics

1 answer:

AleksandrR [38]2 years ago

7 0

Answer:

Step-by-step explanation:

a - 3b = 4 ---------------(eq1)

2a = 6b -9

or, 2a - 6b = -9 ------------(eq2)

2a - 6b = 8 --------(eq1) X 2

2a - 6b = -9 --------(eq2)

(-) (+) (+)

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the variable part of both the equations are same. so the equation has more than one solution.

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Julio bought 4 pencils and 3 erasers for $0.37 and David paid $0.33 for 3 pencils and 4 erasers. What is the cost of one pencil?

grigory [225]

cost of pencil = x = 0.07

and cost of eraser = y = 0.03

Step-by-step explanation:

let cost of pencil = x

and cost of eraser = y

So, we have equations:

$4x+3y=0.37\\3x+4y=0.33$

Solving both equations to find value of x and y

Let:

$4x+3y=0.37\,\,\,eq(1)\\3x+4y=0.33\,\,\,eq(2)$

Multiply eq(1) with 4 and eq(2) with 3 and subtract

$16x+12y=1.48\\9x+12y=0.99\\-\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,-\\--------\\7x=0.49\\x=0.07$

Putting value of x in equation 1:

$4x+3y=0.37\\4(0.07)+3y=0.37\\0.28+3y=0.37\\3y=0.37-0.28\\3y=0.09\\y=0.03$

So, x= 0.07 and y = 0.03

cost of pencil = x = 0.07

and cost of eraser = y = 0.03

Keywords: System of equations

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