Home
Class 12
MATHS
-x+y=-3.5 x+3y=9.5 If (x, y) satisfi...

`-x+y=-3.5`
x+3y=9.5
If (x, y) satisfies the system of equations above, what is the value of y ?

Text Solution

Verified by Experts

The correct Answer is:
`3/2`
One method for solving the system of equations for y is to add corresponding sides of the two equations. Adding the left-hand sides gives (−x + y) + (x + 3y), or 4y. Adding the right-hand sides yields −3.5 + 9.5 = 6. It follows that 4y = 6. Finally, dividing both sides of 4y = 6 by 4 yields y = `6/4` or `3/2` . Any of 3/2, 6/4, 9/6, 12/8 or the decimal equivalent 1.5 will be scored as correct.
Promotional Banner

Similar Questions

Explore conceptually related problems

If (x,y) is a solution to the system of equations above, what is the value of x ^(2) ?

y=(1)/(5)x+4 y=(3)/(7)x-4 If the ordered pair (x, y) satisfies the system of equations above, what is the value of y?

- 3 x + 4y = 20 6 x + 3y = 15 If ( x, y ) is the solution to the system of equations above, what is the value of x ?

x^(2)+y^(2)=160 y=3x If (x, y) is a solutions to the system of equations above, what is the value of y^(2) ?

2x − y = 8 x + 2y = 4 For the system of equations above, what is the value of x + y ?

(x)/(y) = 6 If ( x, y ) is the solution to the system of equations above, what is the value of y ?

2x-3y=-14 3x-2y=-6 If (x ,y) is a solution to the system of equations above, what is the value of x − y ?

x+y=-6 y-4x=4 If the ordered pair (x, y) satisfies the system of equations shown above, what is the value of xy?

2x+3y=1200 3x+2y=1300 Based on the system of equations above , what is the value of 5x+5y ?

7x+3y=8 6 −3 =5 For the solution (x, y) to the system of equations above, what is the value of x − y ?