How do you solve #y + 3x = 5# and #y = 2x + 5#?

1 Answer
Aug 2, 2015

Answer:

#color(red)( x=0,y=5)#

Explanation:

One way is to use the method of elimination.

Step 1. Enter the equations.

[1] #y+3x=5#
[2] #y=2x+5#

Step2. Prepare the equations.

[3] #3x+y=5#
[4] #2x-y = -5#

Step 3. Add the equations.**

[5] #5x=0#

Step 4. Solve for #x#.

[6] #x=0#

Step 5. Substitute Equation 6 in Equation 1.

#y+3x=5#

#y+3(0) = 5#

#y+0 = 5#

#y=5#

Solution: #x=0,y=5#

Check: Substitute the values of #x# and #y# in Equation 2.

#y = 2x+5 #
#5 = 2(0) +5#
#5 = 0+5#
#5=5#