Question

find the three solutions for the equation 2x + y =7

Answer 1

2x+y=7 is given, so if we isolate a variable y would be easier since there is only 1. You must subtract both sides by 2x in order for y to be alone. Here is the math:

 

2x-2x+y=7-2x

y=7-2x or y= -2x+7

 

 

This is telling you that if the equation matches the table, f(x) [which is the same as y] should equal the corresponding x value multiplied by -2 and then adding 7 to the product found. Let's use the first coordinates to illustrate this (-4, -1):

 

y= -2x+7

-1= -2• -4+7

-1= 8+7

-1=15

-1≠15

As you can see, the math shows that y should be 15 if the x coordinate is -4 for the equation y= -2x+7. So the equation does not reflect the table.

Answer 2

let x be 1
2(1)+y=7
2+y=7
y=5

let x be 2
2(2)+y=7
4+y=7
y=3

let x be 3
2(3)+y=7
6+y=7
y=1
hope it helps...
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