Hey there! :)
Equation 1) 4x = y - 1
Equation 2) 6x - 2y = -3
We want both equations to match in a sense where both x & y are on the same side of the equal sign. To achieve this, simply subtract y from both sides in equation 1.
This will leave us with : 4x - y = -1
Now, line up the equations with one another.
1) 4x - y = -1
2) 6x - 2y = -3
Now, multiply 2 to ALL of equation 1.
2(4x - y = -1)
Simplify.
8x - 2y = -2 → We'll call this new equation 3. Now, line up equation 3 with equation 2.
6x - 2y = -38x - 2y = -2
Subtract equations from one another.
-2x = -1
Divide both sides by -2.
-2x ÷ -2 = -1 ÷ -2
Simplify.
x = 1/2
Now, plug in 1/2 for x into our first equation.
4x - y = -14(1/2) - y = -1
Simplify.
2 - y = -1
Subtract 2 from both sides.
-y = -1 - 2
Simplify.
-y = -3
Divide both sides by -1.
y = 3
So, our answer is : x = 1/2, y = 3 OR (1/2, 3)
~Hope I helped!~
