All categories

4 years ago

Y=x+3 y=2x-4what would x and y be as a coordinate point

Mathematics

2 answers:

Softa [21]4 years ago

7 0

Answer:

(7,10)

Step-by-step explanation:

Since both equations are equal to y, we can set them equal

y=x+3

y=2x-4

x+3 = 2x-4

Subtract x from each side

x+3-x =2x-4-x

3 = x-4

Add 4 to each side

3+4 =x-4+4

7 =x

Now we need to find y

y = x+3

y =7+3

rewona [7]4 years ago

7 0

Answer:

X=7,y=10

Step-by-step explanation:

This simultaneous equation requires substitution method

So let's solve

Y=X+3....(1)

Y=2x-4...(2)

X+3=2x-4

Collect like terms

X-2x=-4-3

-x=-7

Divide both sides by-

x=7

Let substitute the value of x in (2)

Y=2(7)-4

Y=14-4

Y=10

When x is 7,y is 10

You might be interested in

How long it will take 2000$ to double if it is invested at 6% interest compounded semi annually

katen-ka-za [31]

Answer:

Step-by-step explanation:

4 0

3 years ago

Find a fraction equivalent to 5/7 whose squared terms add up to 1184.

bogdanovich [222]

The system of equations of two unknowns is formulated and solved.

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left\{\begin{matrix} \ \ \ \dfrac{x}{y} = \dfrac{5}{7} \\ x^2+y^2 = 1184 \end{matrix}\right. \ \Longrightarrow \ x=\dfrac{5}{7}y } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left (\dfrac{5}{7}y \right )^2+y^2=1184\ \Longrightarrow\ 25y^2+49y^2=58016 } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{74y^{2}=58016} \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ \ y^{2}=784 } \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ y=\pm\sqrt{784}=\pm28 } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ x=\dfrac{5}{7}(\pm 28)=\pm 20 } \end{gathered}$}$

The fraction that satisfies the request is $\bf{\dfrac{20}{28}}$ , since in $\bf{\dfrac{-20}{-28}}$ the negative signs are canceled and the first fraction is obtained.