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Gekata [30.6K]
3 years ago
7

How to solve for the two variables using substitution

Mathematics
1 answer:
kompoz [17]3 years ago
4 0
To subsitute, we need to solve for 1 variable
let's solve for x in bottom equation


x-2y=2
add 2y both sides
x=2y+2
sub 2y+2 for x in other equation

-5(2y+2)+3y=11
-10y-10+3y=11
-7y-10=11
add 10 to both sides
-7y=21
divide both sides by -7
y=-3

sub back
x=2y+2
x=2(-3)+2
x=-6+2
x=-4

(x,y)
(-4,-3)
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murzikaleks [220]

\frac{ {5}^{2} }{ {2}^{2} }  =  {( \frac{5}{2}) }^{2}
Since they are both squared.

Evaluating 5^2 and 2^2 and finding the quotient also works.

\frac{ {5}^{2} }{ {2}^{2} } =  \frac{5 \times 5}{2 \times 2}   =  \frac{25}{4}  = 6.25\\  \frac{ {5}^{2} }{ {2}^{2} }  =  {( \frac{5}{2} )}^{2}  = 2.5 \times 2.5 = 6.25
The third option, "Evaluate 5^2 and 2^2 ...," and the last option, "Rewrite the expression as (5/2)^2 ...," are the correct choices.
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