Question

Find x and y values that make both y = 2x – 5 Y=-2/3x+ 3 true.

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Answer 1

See below ↓

Explanation:

Let's find the x and y values.

Step 1 : Equate the y expressions.

• The two equations have given different values for y
• Therefore by equating them, we can solve for x
• 2x - 5 = -2/3x + 3

Step 2 : Convert fractions in the equation to whole numbers.

• The value -2/3 is a fraction
• We can make it a whole number if multiply throughout by the value of its denominator ⇒ 3
• 3(2x - 5) = 3(-2/3x + 3)
• 6x - 15 = -2x + 9

Step 3 : Bring x terms to one side and constant terms to the other.

• 6x + 2x = 9 + 15
• 8x = 24
• x = 3

Step 4 : Solve for y by plugging the value of x into one of the given equations.

• y = 2(3) - 5
• y = 6 - 5
• y = 1

Answer 2

Set the equations equal to each other since the x will be the same. Get like terms on the same side and solve.

2x-5=-2/3x+3
2x-5+5=-2/3x+3+5
2x=-2/3x+8
2x+2/3x=-2/3x+2/3x+8
2 2/3x=8
8/3x=8
(3/8)8/3x=8(3/8)
x=3

x=3