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3 years ago

If -2x+3=7 and 3x+1= 5+y

Mathematics

2 answers:

sertanlavr [38]3 years ago

7 0

Answer: x = -2, y = -10

Step-by-step explanation:

solve for x first in the equation -2x+3=7

-2x+3=7

-2x = 4

x = -2

now plug that x value into the other equation so we can find y

3x+1 = 5+y

3(-2)+1 = 5+y

-6+1 = 5+y

-5=5+y

-10 = y

maria [59]3 years ago

5 0

Step-by-step explanation:

-2X+3=7

-2X= 7--3

X=-2

2nd equation

3(-2) +1= 5+y

y= -10

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Digiron [165]

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The given inequality is

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Add 1 to both sides of the inequality to obtain;

$x\:>\:5+1$

$x\:>\:6$

Answer: 2. $x\:>\:6$ , open dot at 6 and shaded to the right.(A)

QUESTION B.

The given inequality is $2x \le 6$ .

Divide both sides by 2;

$x \le \frac{6}{2}$ .

$x \le 3$ .

Answer: 5. $x \le 3$ , closed dot at 3 and shaded to the left(B).

QUESTION C

The given inequality is $x-7\:>\:-4$

Add 7 to both sides to get;

$x\:>\:-4+7$

$\Rightarrow x\:>\:3$

Answer: 7. $x\:>\:3$ , open dot at 3 and shaded to the right.(C)

QUESTION D

We want to solve;

$-2x \:$

Divide through by -2 and reverse the inequality sign;

$x \:>\:\frac{6}{-2}$

$x \:>\:-3$

Answer; 3. $x \:>\:-3$ Open dot at -3 and shaded to the right. (D)

QUESTION E

We have

$4\:$

Divide through by -4 and reverse the sign.

$\frac{4}{-4}\:>\:x$

$-1\:>\:x$

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Answer: 6. $x\:$ open dot at -1, and shaded to the left(E)

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The given inequality is $-2x+3\:$

Add -3 to both sides to get;

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Divide both sides of the inequality by -2 and reverse the sign;

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Answer:9. $x\:>\:5$ , open dot at 5 and shaded to the right(F)

QUESTION G

The given inequality is

$5x+1\ge11$

$5x\ge11-1$

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Answer ; 10. $x\ge2$ , closed dot at 2 and shaded to the right(G)

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Expand the bracket to get;

$3x+12\:>\:8x-6$

Group similar terms to get;

$3x-8x\:>\:-6-12$

Simplify

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Divide through by -5 and reverse the sign;

$x\:$

Answer: 1. $x\:$ Open dot at 18/5 and shaded to the left(H)

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$-3x+x\:$

$-2x\:$

Divide by -2 and reverse the sign;

$x\:>\:1$

Answer: 8. $x\:>\:1$ , open dot at 1 and shaded to the right(I)

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