Question

What strategies can be used to find solutions for equations such as 2,000 = 20x + 10y?

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Answer 1

y=2(100-x)

Explanation:

Given the expression, knowing also that the expression has two unknowns x and y

2,000 = 20x + 10y

step one:

we can reduce all coefficients by dividing through by a common multiple

i.e dividing through by 10 we have

2,000/10 = 20x/10 + 10y/10

200=2x+y

step two:

we can either solve in terms of x or y

let us solve in terms of y

y=200-2x

step three:

we can factor 2 on the left-hand side we have

y=2(100-x)