Answer:
(1) x=
−1
/2
y+
5
/2
(2)
x=
−1
/2
y−2
Step-by-step explanation:
<u>(1)</u> 2x+y=5
Step 1: Add -y to both sides.
2x+y+−y=5+−y
2x=−y+5
Step 2: Divide both sides by 2.
2x
/2
=
(−y+5)/2
x=
−1
/2
y+
5
/2
<u>(2) </u>Step 1: Flip the equation.
−2x−4=y
Step 2: Add 4 to both sides.
−2x−4+4=y+4
−2x=y+4
Step 3: Divide both sides by -2.
−2x
/−2
=
(y+4)
/−2
x=
−1
/2
y−2
To equations are equivalent if and only if they have the same solution set.
Solve for both of the equations.
-2x = 10
x = -5 <-- Divide both sides by -2
-5x = 25
x = -5 <-- Divide both sides by -5
Both have the solution -5.
So, yes both are equivalent.
Answer:
C and L : F and H I believe
