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3 years ago

What is the soulution to this system of linear equation 7x-2y=-6 8x+y=3

Mathematics

1 answer:

tatuchka [14]3 years ago

7 0

Answer:

(0,3)

Step-by-step explanation:

Step 1: 7x-2y=-6 Step 2: 7x-2y=-6 solve by elimination of the y value

2(8x+y=3)2 +(16x+2y=6)

Step 3: 23x=0, which means x=0

Step 4: subtitute 0 into the equation 8x+y=3

you get 8(0)+y=3, which comes to 0+y=3

you get y=3

therefore the solution to this system is (0,3)

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Patrick went cycling one weekend.

Margarita [4]

For this question, it would be most effective to use an algebraic expression to more easily show what the question is asking. If we use the variable "k" to show the distance in km that he cycled on Sunday, we know that the amount he cycled on Saturday equals k + 12, and the amount that he cycled on the weekend should be the amount of Saturday plus the amount of Sunday. If we write this as an equation we say:
k + k + 12 = 38
=> 2k + 12 = 38
Now we can just rearrange and solve for k:
=> 2k = 26
=> k = 26/2 = 13
Therefore Patrick cycled 13km on Sunday
To solve the answer, we just add 12km to the value for Sunday like so:
12 + 13 = the amount he cycled on Sunday
Hope this helped, remember to please try and understand the maths as well as the answer :))

8 0

3 years ago

Please help me out !! i rlly need it!

maks197457 [2]

So we want to use the Pythagorean a^2 + b^2 = c^2

The answer is explained in photo. B

7 0

3 years ago

Billy has x marbles. Write an

babymother [125]

Answer:

$Charlie = 5 + x$

$Danny = x - 8$

$Eric = 3x$

Step-by-step explanation:

Given

Billy's Marble = x

Required

Determine a,b and c

a. Charlie's Marble

"5 more" means 5 + or + 5

Since Billy's Marble is represented with x, then Charlie's Marbles will be

$Charlie = 5 + x$

b. Danny's Marbles

Having "8 fewer" means we have to subtract 8 from Billy's marble;

Since Billy's Marble is represented with x, then Danny's Marbles will be

$Danny = x - 8$

c. Eric Marbles

Having "three times as " means we have to multiply Bill's marble by 3;

Since Billy's Marble is represented with x, then Danny's Marbles will be

$Eric = 3 * x$

$Eric = 3x$

3 0

3 years ago

Solve the system of equations by the addition method. 1 - 3x = -5y - 8 6x 3y = -5

Advocard [28]

$-3x = -5y -8~~~....(i) \\\\6x -3y = -5 ~~......(ii)\\\\\text{Multiply equation (i) by 2 and do (i) + (ii):}\\\\2 \cdot (-3x) + 6x -3y = 2(-5y-8) + (-5)\\\\\implies -6x +6x -3y = -10y -16 -5 \\\\\implies -3y = -10y -21\\\\\implies -3y +10y =-21\\\\\implies 7y = -21 \\\\\implies y = -\dfrac{21} 7 = -3\\\\\text{Substitute}~y =-3~ \text{in equation (ii):} \\\\6x - 3(-3) = -5\\\\\implies 6x +9 = -5\\\\\implies 6x = -5 -9 = -14\\\\\implies x = -\dfrac{14}6 = - \dfrac{7}3\\$

$\text{Hence}~ (x,y) = \left(-\dfrac 73, -3 \right)$

3 0

2 years ago

Ksju [112]

Answer:

40%

Step-by-step explanation:

6 0

2 years ago