How do you solve #y = x+1# and #y = 2x -1#?

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Answer 1 · 2015-08-03T18:42:41

#color(red)( x=2,y=3)#

One way is to use the method of substitution.

Step 1. Enter the equations.

[1] #y=x+1#
[2] #y=2x-1#

Step 2. Substitute the value of #y# from Equation 1 into Equation 2.

#y=x+1#
#2x-1= x+1#
#2x-x=1+1#

[3] #x=2#

Step 3. Substitute Equation 3 into Equation 1.

#y=x+1#
#y=2+1#

#y=3#

Solution: #x=2,y=3#

Check: Substitute the values of #x# and #y# in Equations 1 and2.

(a) In Equation 1

#y=x+1#
#3=2+1#
#3=3#

(b) In Equation 2

#y=2x-1#
#3=2(2)-1#
#3=4-1#
#3=3#

It checks!

Our solution is correct.