Answer:
The ordered pair that satisfies the equation is (7, -1)
Step-by-step explanation:
In order to find this, we can solve by subtracting. Start by stacking the two equations on top of one another and subtracting like terms.
3x + 3y = 18
(-) 2x + 3y = 11
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x = 7
Now that we have the value for x, we can plug in to either equation to find y.
2x + 3y = 11
2(7) + 3y = 11
14 + 3y = 11
3y = -3
y = -1
Answer:
Step-by-step explanation:
Given
Let the first number = x
Let the second number = 2x + 4
Let the third number = 3x -5
The sum of the three numbers = 101
Equation
x + 2x + 4 + 3x - 5 = 101 Combine like terms on the left
x + 2x + 3x + 4 - 5 = 101 Combine
6x - 1 = 101 Add 1 to both sides
6x = 101 + 1
6x = 102 Divide by 6
6x/6 = 102/6
x = 17
Answer
The first number = 17
The second number = 2*17 + 4 = 34 + 4 = 38
The Third number = 3*17 - 5 = 51 - 5 = 46
Check
17 + 38 + 46 = 101
Answer:
x=9
Step-by-step explanation:
