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3 years ago

If x+y=5,x-y=4,find the value of x²-y²

Mathematics

1 answer:

inysia [295]3 years ago

4 0

Answer:

Step-by-step explanation:

→ First find the value of x and y

x + y = 5

x - y = 4

→ Add the equations to cancel out the y's

2x = 9

→ Divide both sides by 2 to find the value of x

x = 4.5

→ Substitute x = 4.5 back into x - y = 4 to find the value of y

4.5 - y = 4

→ Minus 4.5 from both sides to isolate -y

-y = -0.5

→ Multiply everything by -1

y = 0.5

→ Substitute x = 4.5 and y = 0.5 into x² - y²

4.5² - 0.5² = 20.25 - 0.25 = 20

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<u>To find the values of x,y and z</u>

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3 years ago

Solve the system of equations by graphing where f(x)=5-2x and g(x)=(2/3)x-2. What is the value of x? 0 1 2 3 4

vfiekz [6]

Answer:

The graph is uploaded in the attachment.

The value of x is 2.625.

Step-by-step explanation:

let us plot f(x), g(x) on y-axis

so, f(x)=y and g(x)=y.

the first equation can be written as y=5-2x

the general equation of a straight is y=mx+c

( where m is the slope and c is the y-intercept )

now comparing given equation with the general equation mentioned above, the slope of first line is -2 and its y-intercept is 5

the slope of second equation i.e, y=(2/3)x-2 is 2/3 and its y-intercept is -2.

now plot the graph using above information.

(y-intercept is the the coordinate of a point where the line intersects y-axis)

(slope is the angle made by the line with the x-axis)

by seeing the graph, the value of x is 2.625.

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3 years ago

If x+y=5,x-y=4,find the value of x²-y²​

If x+y=5,x-y=4,find the value of x²-y²