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olchik [2.2K]
3 years ago
10

Y=4x-9 y=x-3 solve by substitution

Mathematics
2 answers:
Arisa [49]3 years ago
7 0

Answer:

x=2

Step-by-step explanation:

x-3=4x-9

x=4x-6

-3x=-6

x=2

taurus [48]3 years ago
5 0

Answer:

x = 2 y = -1

Step-by-step explanation:

let y = 4x -9 .................. eqn 1

y = x - 3 ........................... eqn 2

substitute for y = x - 3 in eqn 1

we have ,

y = 4x -9.................... eqn 1

i.e

x - 3 = 4x - 9

collect the like terms

-3 + 9 = 4x - x

6 = 3x

divie both sides by 3

x = 2

now put x = 2 in equation (2)

from

y = x - 3 .............eqn 2

y = 2 - 3

y = -1

therefore x = 2 y = -1

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In the diagram, quadrilateral EFGH is similar to quadrilateral PQRS. Using the graph, determine the coordinates of H. DRAG &
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The nine chips shown below are placed in a bag and then mixed up. Madeline draws one chip from this bag. What is the probability
babunello [35]

Complete question :

Image relating to the question can be found in the attachment below :

Answer:

4/9

Step-by-step explanation:

From the picture :

The nine chips are : 1, 2, 3, 4, 5, 6, 7, 8, 9

Even chips = 2, 4, 6, 8

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5 0
3 years ago
Juans three math quizzes this week took him 1/3?4/6?and1/5 hour to complete. List all the fraction from least to greatest
Alex

Answer:

\frac{1}{5} ,  \frac{1}{3} , \frac{4}{6}.

Step-by-step explanation:

Given fractions \frac{1}{3}, \frac{4}{6}, \frac{1}{5}.

We need to list them from least to greatest.

In order to arrange them from least to greatest, we need to find the least common denominator of  \frac{1}{3}, \frac{4}{6}, \frac{1}{5}.

We have 3, 6 and 5 in denominators.

Least common multiple of 3, 6 and 5 is = 30, because 30 is least number that can be divided by all three number 3, 6 and 5.

Let us covert each denominator as 30.

Multiplying first fraction \frac{1}{3} by 10 in top and bottom, we get

\frac{1}{3} = \frac{1\times10}{3\times10}=\frac{10}{30}

Multiplying first fraction \frac{4}{6} by 5 in top and bottom, we get

\frac{4}{6} = \frac{4\times5}{6\times5}=\frac{20}{30}

Multiplying first fraction  \frac{1}{5} by 6 in top and bottom, we get

\frac{1}{5} = \frac{1\times6}{5\times6}=\frac{6}{30}.

Now, we can check \frac{10}{30}, \frac{20}{30} \ and \ \frac{6}{30}.

\frac{6}{30} is the smallest, \frac{10}{30} is greater and \frac{20}{30} is the greatest.

Therefore, we can arrange fractions\frac{6}{30}, \frac{10}{30} \ and \ \frac{20}{30}.

Writing original fractions in place of equivalent fractions, we can write

\frac{1}{5} ,  \frac{1}{3} and  \frac{4}{6}.

Therefore, the order the amounts of paint from least to greatest is:

\frac{1}{5} ,  \frac{1}{3} , \frac{4}{6}.




4 0
3 years ago
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