Question

Solve: x+y=2, 2x+3y=5

Answer 1

Step-by-step explanation:

$x + y = 2......(1) \\ 2x + 3y = 5........(2) \\ x = 2 - y.........(3) \\ 2x + 3y = 5 \\ 2(2 - y) + 3y = 5 \\ 4 - 2y + 3y = 5 \\ 4 + 1y = 5 \\ y = 5 - 4 \\ <strong><u>y = 1</u></strong> \\ x = 2 - y \\ x = 2 - 1 \\ <strong><u>x = 1</u></strong>$have a good day...

Answer 2

Answer:

(x,y)1,1

Step-by-step explanation:

x+y=2

2x+3y=5

• use the elimination  method
• 2(x+y)=2
• 1(2x+3y)=5
• open the brackets:
• 2x+2y=4
• 2x+3y=5
• subtract the equations so that the x family will be 0
• 2y-3y
• 4-5=-1
• -y=-1=
• y=1
• using the first equation
• x+y=2
• substitute for x
• x+1=2
• x=1