Answer:
x=3
y=8
Step-by-step explanation:
the given equations are y=3x-1 --------(1)
and y=2x+2---------(2)
Using substitution method,
and solving y=3x-1
y+1=3x
or y+1/3 =x ------(3)
Putting the value of x= y + 1 / 3 in equation 2
y= 2x+2
or, y = 2 ( y + 1/3) +2
or, y= 2y + 2 / 3 <u>+</u><u>2</u>
<u>or</u><u>,</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>2y</u><u> </u><u>+</u><u> </u><u>2</u><u> </u><u>+</u><u> </u><u>6</u><u> </u><u>/</u><u>/</u><u> </u><u>3</u><u> </u><u>(</u> Taking LCM)
Or, 3 y = 2y + 2 + 6 ( <u>the</u><u> </u><u>denominator</u><u> </u><u>gets</u><u> </u><u>multiplied</u><u> </u><u>to</u><u> </u><u>y</u><u>)</u>
OR, 3 Y - 2Y =6 PLUS 2
or y = 8
therefore, y=8
now substituting the value of y=8 in equation (3)
y + 1 /3 = x
or ,,, 8 plus 1 by 3 =x
or,,,,, 9 by 3 =x
Therefore, x is 3