Apply the elimination method to solve the system of equations 2x+6y=8 and 3x+2y=2 which three statements are correct

Mathematics

1 answer:

omeli [17]2 years ago

6 0

Answer: x= -2/7, y = 10/7

Step-by-step explanation: 1) 2x +6y = 8 and 2) 3x + 2y = 2

Multiply equation 2) by -3 and you get -9x -6y = -6.

Add together and sum is -7x = 2 and x= -2/7 then insert to eat, 2) value of x:

3·(-2/7) +2y = 2 and 2y = 2+ 6/7 2y = 20/7 and y = 10/7

You might be interested in

Rami designed a small pond for a restaurant. The diagram below shows the measurements of the pond. How many cubic feet of water

Naddik [55]

Answer:

426

Step-by-step explanation:

6 0

2 years ago

How do you tell if a number is irrational or rational?

Korvikt [17]

A rational number is any number that can be expressed as a fraction
(ex: -5/2, 4 1/7, and 8/13)

An irrational number is any number that cannot be expressed as a fraction; a non-repeating, non-terminating decimal (ex: pi, 0.121231234...)

Hope this helps! :)

6 0

3 years ago

Given: △ACM, m∠C=90°, CP ⊥ AM

larisa86 [58]

Answer: The answer is $3\dfrac{4}{7}.$

Step-by-step explanation: Given in the question that ΔAM is a right-angled triangle, where ∠C = 90°, CP ⊥ AM, AC : CM = 3 : 4 and MP - AP = 1. We are to find AM.

Let, AC = 3x and CM = 4x.

In the right-angled triangle ACM, we have

$AM^2=AC^2+CM^2=(3x)^2+(4x)^2=9x^2+16x^2=25x^2\\\\\Rightarrow AM=5x.$

Now,

$AM=AP+PM=AP+(AP+1)\\\\\Rightarrow 2AP=AM-1\\\\\Rightarrow 2AP=5x-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(A)$

Now, since CP ⊥ AM, so ΔACP and ΔMCP are both right-angled triangles.

So,

$CP^2=AC^2-AP^2=CM^2-MP^2\\\\\Rightarrow (3x)^2-AP^2=(4x)^2-(AP+1)^2\\\\\Rightarrow 9x^2-AP^2=16x^2-AP^2-2AP-1\\\\\Rightarrow 2AP=7x^2-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(B)$