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Helen [10]
3 years ago
13

-3x+3y=9 2x−7y=−14 ​

Mathematics
1 answer:
nignag [31]3 years ago
6 0
Step: Solve
−
3
x
+
3
y
=
9
for x:
−
3
x
+
3
y
=
9
−
3
x
+
3
y
+
−
3
y
=
9
+
−
3
y
(Add -3y to both sides)
−
3
x
=
−
3
y
+
9
−
3
x
−
3
=
−
3
y
+
9
−
3
(Divide both sides by -3)
x
=
y
−
3

Step: Substitute
y
−
3
for
x
in
2
x
−
7
y
=
−
14
:
2
x
−
7
y
=
−
14
2
(
y
−
3
)
−
7
y
=
−
14
−
5
y
−
6
=
−
14
(Simplify both sides of the equation)
−
5
y
−
6
+
6
=
−
14
+
6
(Add 6 to both sides)
−
5
y
=
−
8
−
5
y
−
5
=
−
8
−
5
(Divide both sides by -5)
y
=
8
5

Step: Substitute
8
5
for
y
in
x
=
y
−
3
:
x
=
y
−
3
x
=
8
5
−
3
x
=
−
7
5
(Simplify both sides of the equation)

Answer:
X=-7/5 and y= 8/5
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3 years ago
What is an equation of the line that passes through the points (-3, -2)(−3,−2) and (3, 6)(3,6)? Put your answer in fully reduced
il63 [147K]

Answer:

The equation of the line is y = \frac{4}{3} x + 2

Step-by-step explanation:

The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where

  • m is the slope of the line whose rule is m=\frac{y2-y1}{x2-x1}
  • b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)

Let us solve the question:

∵ The line passes through the points (-3, -2) and (3, 6)

∴ x1 = -3 and x2 = 3

∴ y1 = -2 and y2 = 6

→ Use the rule of m to find it

∵ m=\frac{6-(-2)}{3-(-3)}=\frac{6+2}{3+3}=\frac{8}{6}

→ Simplify it by dividing up and down by 2

∴ m = \frac{4}{3}

→ Substitute its value in the form of the equation above

∴ y = \frac{4}{3} x + b

→ To find b substitute x and y by x1 and y1

∴ -2 = \frac{4}{3} (-3) + b

∴ -2 = -4 + b

→ Add 4 to both sides

∴ -2 + 4 = -4 + 4 + b

∴ 2 = b

→ Substitute it in the form of the equation

∴ y = \frac{4}{3} x + 2

∴ The equation of the line is y = \frac{4}{3} x + 2

6 0
3 years ago
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Answer:

If the dimension increased by doubled, tripled or quadrupled, then it will be 2x, 3x, or 4x for each dimension.

3 0
3 years ago
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boyakko [2]
Hi,

f(x)=\log(x)   FALSE

f(x)=\log(x-4)+1  TRUE

→  f(x)=\log(x-2)

f(x)=\log(x+2)  FALSE

f(x)=2log(x)  TRUE
4 0
3 years ago
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What is the equation of the line that is
sladkih [1.3K]

Answer:

y = 1/2x - 7/2

Step-by-step explanation:

y = 1/2x + b

-3 = 1/2(1) + b

-3 = 1/2 + b

-7/2 = b

5 0
3 years ago
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