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3 years ago

4x - 3y = 12 4x - 5y = -4 Solve using Elimination

Mathematics

2 answers:

mr_godi [17]3 years ago

8 0

Answer:

${ \rm{4x - 3y = 12 - - - \{eqn(a) \}}} \\ { \rm{4x - 5y = - 4 - - - \{eqn(b) \}}}$

• subtract eqn(b) from eqn(a);

${ \underline{ \rm{ - \binom{4x - 3y = 12}{4x - 5y = - 4} }}} \\ { \rm{0x + 2y = 16}} \\ \\ { \rm{2y = 16}} \\ \\ { \boxed{ \tt{ \: \: y = 8 \: \: }}} \\$

• find x :

${ \rm{4x - 3y = 12}} \\ { \rm{4x - 3(8) = 12}} \\ { \rm{4x = 36}} \\ \\ { \boxed{ \tt{ \: \: x = 9 \: \: }}}$

olga_2 [115]3 years ago

3 0

I think the answers is

Y=8
X=9

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Read 2 more answers

You multiply two integers. You increase one of them by 1 and decrease the other

snow_tiger [21]

Integers are numbers without decimals

The integers could you have multiplied are 9 and 2

Let the numbers be x and y

So, we have:

$\mathbf{x \times y}$

Increase x by 1 and reduce y by 1.

So, we have

$\mathbf{(x +1) \times (y -1) = 6 + xy }$

Open brackets

$\mathbf{xy -x + y - 1 = 6 + xy}$

Subtract xy from both sides

$\mathbf{ -x + y - 1 = 6}$

Collect like terms

$\mathbf{ -x + y = 6 + 1}$

$\mathbf{ -x + y = 7}$

Rewrite as:

$\mathbf{ y -x= 7}$

The above means that, the difference between the integers is 7.

There are several integers that fit the above <em>description</em>;

One possibility is: 9 and 2