Solutions Linear Equations

Select all of the points that are solutions to the linear equation 2x + 9y = 54

• (9, 12)

• (6, 0)

• (0, 6)

• (9, 4)

Is (1, 2) a solution to the linear equation 2x + 5y = 12?

• Yes

• No

Select all of the points that are solutions to the linear equation 5x + 8y = 40.

• (8, 0)

• (4, 2)

• (0,5)

• (1, 6)

Select all of the points that are solutions to the equation x + 4y = 20.

• (10, 2.5)

• (0, 5)

• (2, 10)

• (5, 3)

• (0,445)

• (0.50, 435)

• (233, 21)

• (118, 209)

• (172, 101)

29x+37y=103 and 37x+29y = 95 then

• x=1, y=2

• x=2, y=1

• x=3, y=2

• x=2, y=3

Identify the option having two correct solutions for the equation 5x + 4y = 20

• (2,1) and (3,2)

• (1, 4) and (3,1)

• (0, 5) and (4, 0)

• (4, 3) and (3, 0)

Answer explanation

5x + 4y = 20 On taking (x = 0, y = 5), L.H.S = 5(0) + 4(5) = 20 = R.H.S On taking (x = 4, y = 0), L.H.S = 5(4) + 4(0) = 20 = R.H.S Therefore, (0, 5) and (4, 0) are two solutions of the given linear equation in two variables.

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3x + 2y = -2

If x+y=14 and x-y=4 then the values of x and y are_________

• x=4 and y = 5

• x = 9 and y = 7

• x = -6 and y = 5

• x = 9 and y = 5