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3 years ago

3x+y=52x-2y=-2solve by using process of elimination (find both x and y)

Mathematics

1 answer:

Bingel [31]3 years ago

6 0

Answer:

The value of 'x' is 1 and 'y' is 2. So, the point is (1, 2).

Step-by-step explanation:

Given:

The given pair of linear equations are:

$3x+y=5\\2x-2y=-2$

In order to solve by elimination method, we have to eliminate any one variable using mathematical operations. Let us eliminate 'y'.

Multiplying the first equation by 2 and adding the result to the second equation. This gives,

$(3x+y)\times 2=5\times 2\\6x+2y=10\\2x-2y=-2\\+\\----------\\8x+0=8\\8x=8\\x=\frac{8}{8}=1$

Now, the value of 'y' can be calculated by plugging in 1 for 'x' in the first equation. This gives,

$3(1)+y=5\\3+y=5\\y=5-3\\y=2$

Therefore, the value of 'x' is 1 and 'y' is 2.

The solution is (1, 2).

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The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers.

Kruka [31]

Answer:

34 and 17

Step-by-step explanation:

x+y=51

2y=x

2y+y=51

3y=51

y=17

2(17)=x

x=34

7 0

2 years ago

(1st pic) What is the equation of the line shown in this graph?

vredina [299]

Answer:

For figure 1: The equation of a line is y=1

For figure 2: The equation of a line is y=(-4)x+1

For figure 3:The equation of a line is y= $\frac{-5}{2}x+5$

Step-by-step explanation:

The equation of line slope-intercept form is given by y=mx+c

Where m is the slope of the line and c is the y-intercept.

For figure 1:

Here, Line is parallel to x-axis

Hence, Slope m=0

Also, Line passing to y axis at (0,1)

Y-intercept is c=1

Therefore,

The equation of line is

y=0x+1

y=1

For figure 2:

Figure show a line passing through point (1,-3) and (-1,5)

The slope of the line is given by m= $\frac{Y2-Y1}{X2-X1}$

Using given points to find out the slope of a line

m= $\frac{Y2-Y1}{X2-X1}$

m= $\frac{5-(-3)}{(-1)-1}$

m= $\frac{8}{-2}$

m=(-4)

Also, Line is intersecting y-axis at (0,1)

Hence, c=1

We can write the equation of line as

y=mx+c

y=(-4)x+1

Thus, The correct option is D). y=(-4)x+1

For figure 3:

From the figure, a line is passing through points (-2,0) and (0,5)

The slope of the line is given by m= $\frac{Y2-Y1}{X2-X1}$

Using given points to find out the slope of a line

m= $\frac{Y2-Y1}{X2-X1}$

m= $\frac{5-0}{0-(-2)}$

m= $\frac{-5}{2}$

Also, Line is intersecting y-axis at (0,5)

Hence, c=5

We can write the equation of line as

y=mx+c

y= $\frac{-5}{2}x+5$

4 0

2 years ago

A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtain

slega [8]

Answer: 8359

Step-by-step explanation:

The formula for sample size needed for interval estimate of population proportion :-

$n=p(1-p)(\frac{z_{\alpha/2}}{E})^2$

Given : The significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}}=z_{0.025}=\pm1.96$

Previous estimate of proportion : $p=0.32$

Margin of error : $E=0.01$

Now, the required sample size will be :-

$n=0.32(1-0.32)(\frac{1.96}{0.01})^2=8359.3216\approx8359$

Hence, the required sample size = 8359

5 0

2 years ago

This is the easiest question

Arturiano [62]

Answer: $3\dfrac{2}{6}\ h$

Step-by-step explanation:

Given

Rami practices his saxophone for $\frac{5}{6}$ hour on 4 day each week

So, for a week she practices around

$\Rightarrow \dfrac{5}{6}\times 4\\\\\Rightarrow \dfrac{20}{6}$

Converting it into mixed fraction

$\Rightarrow \dfrac{20}{6}=\dfrac{18+2}{6}\\\\\Rightarrow 3\dfrac{2}{6}\ h$

5 0

2 years ago

0.10x how much is the bill for a person who uses 600 kWh in a month

Yuliya22 [10]

The total bill paid for a person who uses 600 kWh in a month is $60.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let us assume that the utility company charges $0.10 per kWh, hence:

Total charge in a month = 0.10 * 600 = $60

The total bill paid for a person who uses 600 kWh in a month is $60.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

7 0

1 year ago

3x+y=52x-2y=-2solve by using process of elimination (find both x and y)​

3x+y=52x-2y=-2solve by using process of elimination (find both x and y)