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4 votes
Problem

34x+54y=30



Solution
Now, do not let the fractions freak you out! We’re about to make them disappear. (The best kind of mathematical magic act, right?)

Both fractions have a denominator of 4
which means that we can multiply ALL terms by the denominator 4
. You must multiply to all three terms, including the C
term on the right side! Based on the rules of algebra, we are allowed to do this multiplication because we are multiplying it to every term.

4(34x+54y)=4(30)

By multiplying by 4
, it eliminates the denominators of our fractions and just leaves us with the numerators. Make sure to multiply 4(30)
.

3x+

y=


We now have an equation written properly in Standard Form. All coefficients are integers.

1 Answer

2 votes

Answer:

3x + 5y = 120

Explanation:

3/4 x + 5/4 y = 30

4 × 3/4 x + 4 × 5/4 y = 4 × 30

3x + 5y = 120

User Onik
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