Geometry work please help

Use the method of ELIMINATION to solve the system. You must SHOW ALL WORK. Make sure you have an answer for both x and y.

jekas [21]

Answer:

<h3>Required <u>Answer</u><u>:</u><u>-</u></h3>

$\sf 4x+8y=10\dots\dots (1)$

$\sf -4x+2y=-30\dots\dots (2)$

by adding eq (1) and eq (2) we get

${:}\longrightarrow$ $\sf 4x+8y=20$

${:}\longrightarrow$ $\sf -4x+2y=-30$

${:}\longrightarrow$ $\sf 10y=-10$

${:}\longrightarrow$ $\sf y={\dfrac {-10}{10}}$

${:}\longrightarrow$ ${\underline{\boxed{\bf y=-1}}}$

Substitute the value in eq (2)

${:}\longrightarrow$ $\sf -4x+2 (-1)=-30$

${:}\longrightarrow$ $\sf -4x-2=-30$

${:}\longrightarrow$ $\sf -4x=-30+2$

${:}\longrightarrow$ $\sf -4x=-28$

${:}\longrightarrow$ $\sf x={\dfrac {-28}{-4}}$

${:}\longrightarrow$ ${\underline{\boxed{\bf x=7}}}$

$\therefore$ ${\underline{\boxed{\bf (x,y)=(7,-1)}}}$

6 0

3 years ago

Read 2 more answers

Oliver is building a rectangular dog pen with an area of 18.9 square feet. If the length of the dog pen is 6.3 feet, what is the

Alex787 [66]

Answer:

3 feet

Step-by-step explanation:

A = l x w Formula

18.9 = 6.3 x w Substitution

18.9/6.3 = w Division

3 = w Solution

7 0

3 years ago

Is the ratio 25 to 16 proportional to the ratio 5 to 4

Nutka1998 [239]

No? I'm pretty sure it wouldn't be because 25 to 16 and then 5 to 4 if you multiplied by 5 it would be 25 to 20 so no.

6 0

2 years ago

A plant grows 10 cm each week. The plant is 60 cm now.how many weeks will it take to reach 1 meter

Whitepunk [10]

Answer:

4

Step-by-step explanation:

We know 100 centimeters = 1 meter.

We know the plant grows 10 cm in 1 week.

100 - 60 = 40.

40 cm remaining / 10 cm per week = 4 weeks.

4 0

3 years ago

If BE ≅ LU in quadrilateral BLUE shown, which additional information would be sufficient to prove quadrilateral BLUE is a parall

goblinko [34]

Answer: Option A and option B would be sufficient to prove that BLUE is a parallelogram. The diagonals are congruent IS NOT ALWAYS TRUE about a parallelogram.

Step-by-step explanation: Please refer to the diagram attached for details. One of the properties of a parallelogram is that each pair of opposite sides are equal to each other. So lines BE and LU are parallel as shown by the arrows on both lines in the attached picture. Same applies to lines BL and EU. Line BE doesn’t have to be congruent to BL, but BE must be congruent to LU. Same applies to BL and EU. Also in a parallelogram, opposite sides are congruent, opposite angles are congruent (angle B = angle U and angle E = angle L) and opposite sides are parallel. The diagonals are NOT ALWAYS congruent. This is only possible if all four sides are of the same measurement. However if for instance, side BE does not equal BL, then the diagonals cannot be equal.

8 0

3 years ago