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Keith_Richards [23]
3 years ago
9

Solve by substitution 4x+2y=10 x-y=13

Mathematics
2 answers:
Savatey [412]3 years ago
8 0
<span>4x+2y=10
x-y=13

x=13+y
4(13+y)+2y=10
52+4y+2y=10
52+6y=10
6y=-42
y=-7
x=13+y=13-7=6

</span>
frozen [14]3 years ago
6 0
Equation 1: 4x+2y=10
Equation 2: X-y= 13

From Equation 2:

X = 13+Y

Substitute X into Equation 1:

4(13+Y)+2Y=10
52+4Y+2Y=10
52+6Y=10
6Y=10-52
6Y=-42
Y=-7

Substitute Y into Equation 2:

X-(-7)= 13
X+7=13
X=6

Therefore: Y= -7; X=6

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8 0
3 years ago
Paul high earns $5.00 an hour working part-time at an auto parts store he work 16 hours per week. What is his gross pay each wee
Nataly [62]

Answer:

$80

Step-by-step explanation:

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6 0
3 years ago
A skateboarder starting from rest accelerates down a ramp at 2 m/s for 2 s. What is the final speed of the skateboarder
Sedaia [141]

Initial speed of the skateboard (u) = 0 m/s (Starts from rest)

Acceleration of the skateboard (a) = 2 m/s²

Time taken by the skateboard (t) = 2s

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\bf \longrightarrow v = u + at \\  \\ \rm \longrightarrow v = 0 + 2 \times 2 \\  \\ \rm \longrightarrow v = 4 \: m {s}^{ - 1}

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7 0
3 years ago
Keiko has a total of $ 5200 comma which she has invested in two accounts. The larger account is $ 900 greater than the smaller a
Ilia_Sergeevich [38]

Keiko has a total of $5200

x is the amount of money in larger account

y is the amount of money in smaller account

x - y = $900

and x + y = $5200

<u>This creates two simultaneous equations:</u>

x - y = $900 ... (i)

x + y = $5200 ... (ii)

Adding (i) and (ii) :

2x = $6100 , x = $3050

y = x - $900 = $3050 - $900 = $2150

The amount of money in larger account (x) = $3050

The amount of money in smaller account (y) = $2150

8 0
3 years ago
A father's age is three less than two times the son's age. The difference in their ages is 30 years. Find the son's age.
kkurt [141]

You can set up a systems of equations to solve this problem.

The equation y = 2x-3 represents the father's age where y = The father's age and x = The son's age.

The equation 30=y-x represents the difference between the two ages.

In order to be able to solve a system, the two equations can be in the same form. (They don't need to be it's just easier for me to have them in the same form) One is in standard form (ax+by= c) and the other one is in slope intercept form (y=mx+b where m is the slope and b is the y- intercept).

Lets put the equation y=2x-3 into standard form.

y=2x-3

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3=2x-y

We have the two equations 30=y-x and 3=2x-y

Now to solve the system.

30=y-x

3=2x-y or 3=-y+2x

30=y-x

3=-y+2x The -y and y cancel each other out since they are the same term but are the inverse of each other one is neg one is pos.

Your left with

30=-x Now you just combine the two equations. 30+3 and 2x-x

3=2x

33=x The son's age is 33. To Find the Fathers age we would just plug 33 for x into one of the equations to find the Fathers age.

SON'S AGE IS 33

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3 years ago
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