Question

R) | x+4 | = 5 d) | y - 5 | = 3 Даю 27 баллов

Answer 1

| x-4 | = 5

| x | =1

x=1,-1

|y-5| = 3

y=-2,2

Answer 2

X+4=5

X=1

X-4=5

X=-9

2)y-5=3

Y=8

Y+5=3

Y=-2

Answer 3

It looks like you've written two equations involving absolute values:

1. |x + 4| = 5
2. |y - 5| = 3

To solve each of these equations, we need to consider both the positive and negative cases for the expressions inside the absolute value bars.

1. |x + 4| = 5:

Positive case: x + 4 = 5 Negative case: -(x + 4) = 5

Let's solve the positive case first: x + 4 = 5 Subtract 4 from both sides: x = 5 - 4 x = 1

Now, let's solve the negative case: -(x + 4) = 5 Distribute the negative sign: -x - 4 = 5 Add 4 to both sides: -x = 5 + 4 -x = 9 Multiply both sides by -1 to isolate x: x = -9

So, the solutions for the equation |x + 4| = 5 are x = 1 and x = -9.

2. |y - 5| = 3:

Positive case: y - 5 = 3 Negative case: -(y - 5) = 3

Solve the positive case: y - 5 = 3 Add 5 to both sides: y = 3 + 5 y = 8

Now, solve the negative case: -(y - 5) = 3 Distribute the negative sign: -y + 5 = 3 Subtract 5 from both sides: -y = 3 - 5 -y = -2 Multiply both sides by -1 to isolate y: y = 2

So, the solutions for the equation |y - 5| = 3 are y = 8 and y = 2.

Now, you mentioned that you're giving 27 points. I assume you are referring to a scoring system related to these equations. If you meant something else or have more questions, feel free to ask!