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3 years ago

3x + y=11 -2x + y=1 Solve using substitution method

Mathematics

2 answers:

Alja [10]3 years ago

8 0

Step-by-step explanation:

here's the solution : -

=》3x + y = 11

=》y = 11 - 3x

now, plugging the value of y in equation 2

=》-2x + y = 1

=》-2x + 11 - 3x = 1

=》-5x = -10

=》x = 2

now, plugging the value of x as 2 in equation 1

=》3x + y = 11

=》6 + y = 11

=》y = 11 - 6

=》y = 5

nata0808 [166]3 years ago

6 0

Answer:

3x+yl=11

-2x+y=11

y=11-3x

-2x+11-3x=11

-5x=11-11

so x=0

y=11-0

y=11

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andrew-mc [135]

Answer:

$\frac{19}{12}\ pounds$

$1\frac{7}{12}\ pounds$

Step-by-step explanation:

<u><em>The correct question is </em></u>

A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop. How many more pounds of plant food does the landscaper need?

Let

x ----> the additional pounds of plant food needed for the landscaper

we know that

The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed

The linear equation that represent this problem is

$x+1\frac{1}{4}+\frac{4}{6}=3\frac{4}{8}$

Convert mixed number to an improper fractions

$1\frac{1}{4}=1+\frac{1}{4}=\frac{4*1+1}{4}=\frac{5}{4}$

$3\frac{4}{8}=3+\frac{4}{8}=\frac{3*8+4}{8}=\frac{28}{8}=\frac{14}{4}$

Substitute in the expression above

$x+\frac{5}{4}+\frac{4}{6}=\frac{14}{4}$

solve for x

Multiply by (4*6) both sides to remove the fractions

$24x+30+16=84$

Combine like terms left side

$24x+46=84$

subtract 46 both sides

$24x=84-46$

$24x=38$

Divide by 24 both sides

$x=\frac{38}{24}\ pounds$

simplify

$x=\frac{19}{12}\ pounds$

Convert to mixed number

$\frac{19}{12}\ pounds=\frac{12}{12}+\frac{7}{12}=1\frac{7}{12}\ pounds$

7 0

4 years ago

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lidiya [134]

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here's your answer

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