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CALCULATE IT!
Solve
Graph
Lesson
Problem:
Solve
x
+
2
y
=
−
6
;
3
x
+
8
y
=
−
20
Steps:
I will solve your system by substitution.
(You can also solve this system by elimination.)
x
+
2
y
=
−
6
;
3
x
+
8
y
=
−
20
Step: Solve
x
+
2
y
=
−
6
for x:
x
+
2
y
+
−
2
y
=
−
6
+
−
2
y
(Add -2y to both sides)
x
=
−
2
y
−
6
Step: Substitute
−
2
y
−
6
for
x
in
3
x
+
8
y
=
−
20
:
3
x
+
8
y
=
−
20
3
(
−
2
y
−
6
)
+
8
y
=
−
20
2
y
−
18
=
−
20
(Simplify both sides of the equation)
2
y
−
18
+
18
=
−
20
+
18
(Add 18 to both sides)
2
y
=
−
2
2
y
2
=
−
2
2
(Divide both sides by 2)
y
=
−
1
Step: Substitute
−
1
for
y
in
x
=
−
2
y
−
6
:
x
=
−
2
y
−
6
x
=
(
−
2
)
(
−
1
)
−
6
x
=
−
4
(Simplify both sides of the equation)
Answer:
x
=
−
4
and
y
=
−
1
Answer:
90°-33°=57°
57=2x+1
-1. -1
56=2x divide both sides by 2
28=x
x =28
Answer:
XQ = 12
Step-by-step explanation:
In this question it asks for XQ instead of x, but you need to find x first.
1. Find x.
XQ is half of MQ so this statement is true: 3x - 3 = 2(2x - 6)
Solve for x.
3x - 3 = 2(2x - 6)
Distribute 2.
3x - 3 = 4x - 12
Isolate x.
3x = 4x - 9
-x = -9
Divide -1 out.
x = 9
Now solve for XQ, which the equation is given.
XQ = 2(9) - 6
XQ = 18 - 6
XQ = 12
<h3><u>Write two division expression s that have the same vaule as 36.8 ÷ 2.3
</u></h3>
<em><u>Solution:</u></em>
Given that,
We hve to find the two division expression s that have the same vaule as 36.8 ÷ 2.3
From given,
So, we have to find two division expressions that has a value of 16
<em><u>First division expression</u></em>
We know that 32 divided by 2 gives 16
Thus, we can write as,
<em><u>Second Expression:</u></em>
We know that 48 divided by 3 gives 16
Thus, we can write as,
Thus the two expressions are found
Answer:
Step-by-step explanation:
y = 3x - 5
m₁ = 3
The required line is perpendicular to y = 3x - 5. Let the required line's slope be m₂
m₂ = -1/m₁
m₂ = -1/3
Point (9,6)
Equation of line: y - y₁ = m(x - x₁)
y - 6 = (-1/3)(x - 9)
