What is the solution to the equation? 3x - 5 =7x -9

Answer:

x=1

Step-by-step explanation:

3x - 5 =7x -9

Subtract 3x from each side

3x - 5-3x =7x-3x -9

-5 = 4x-9

Add 9 to each side

-5+9 = 4x-9+9

4 = 4x

Divide each side by 4

4/4 = 4x/4

1=x

Answer:

numbers

=

1

Step-by-step explanation:

1

Add

5

5

5

to both sides of the equation

3

−

5

=

7

−

9

3x-5=7x-9

3x−5=7x−9

3

−

5

+

5

=

7

−

9

+

5

3x-5+{\color{#c92786}{5}}=7x-9+{\color{#c92786}{5}}

3x−5+5=7x−9+5

2

Simplify

Add the numbers

Add the numbers

3

=

7

−

4

3x=7x-4

3x=7x−4

3

Subtract

7

7x

7x

from both sides of the equation

3

=

7

−

4

3x=7x-4

3x=7x−4

3

−

7

=

7

−

4

−

7

3x{\color{#c92786}{-7x}}=7x-4{\color{#c92786}{-7x}}

3x−7x=7x−4−7x

4

Simplify

Combine like terms

Combine like terms

−

4

=

−

4

-4x=-4

−4x=−4

5

Divide both sides of the equation by the same term

−

4

=

−

4

-4x=-4

−4x=−4

−

4

−

4

=

−

4

−

4

\frac{-4x}{{\color{#c92786}{-4}}}=\frac{-4}{{\color{#c92786}{-4}}}

−4−4x=−4−4

6

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

1

EXERCISE 1. Find the equation of the straight line through the point (2, 3) whose intercept on s-axis is twice that on y-axis.​

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×
100
)
+
(
2
×
10
)
+
(
3
×
1
10
)
+
(
5
×
1
100
)
.
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