Answer:
(There's a confusion here, is x 2 x times 2? The answer and explanation are based on x multiply by 2)
y = -8
Step-by-step explanation:
Substitution Method-
y = x 2 - 4
x = -2
y = (-2) 2 - 4
PEMDAS - parentheses; exponents; Multiplication & Division; Addition & Subtraction
we are going to multipl -2 and 2 together ---> -4
y = -4 - 4
Same sign add, different sign subtract.
Same sign keep the sign, different sign keep the larger.
y = -8
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Step 1) Solve the second equation for
x
:
x
+
3
y
=
−
5
x
+
3
y
−
3
y
=
−
5
−
3
y
x
+
0
=
−
5
−
3
y
x
=
−
5
−
3
y
Step 2) Substitute
−
5
−
3
y
for
x
in the first equation and solve for
y
:
3
(
−
5
−
3
y
)
−
2
y
=
7
−
15
−
9
y
−
2
y
=
7
−
15
−
11
y
=
7
15
−
15
−
11
y
=
15
+
7
0
−
11
y
=
22
−
11
y
=
22
−
11
y
−
11
=
22
−
11
−
11
y
−
11
=
−
2
y
=
−
2
Step 3) Substitute
−
2
for
y
in the solution to the second equation at the end of Step 1 and calculate x:
x=−5−(3×−2)
x=−5−(−6)
x=−5+6
x=1
The solution is x=1 and y=−2
