Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

If 3x- 7y = 10 and x y = - 1, find the value of 9x² + 49y²

hint Hint:

While evaluating the expression just put the values and perform basic operations.

The correct answer is: Hence, the value 9x2 + 49y2 is 58.

Step by step explanation:
○ Given:
3x- 7y = 10 and x y = - 1
○ Step 1:
○ 3x- 7y = 10 { Square both side }
$rightwards double arrow$ (3x - 7y)² = (10)²
$rightwards double arrow$ 9x² - 42xy + 49y²= 100
$rightwards double arrow$ 9x² + 49y² = 100 + 42xy
Put x y = -1
$rightwards double arrow$ 9x² + 49y² = 100 + 42(-1)
$rightwards double arrow$ 9x² + 49y² = 100 - 42
$rightwards double arrow$ 9x² + 49y² = 58
∴ 9x² + 49y² = 58

Final Answer:

Hence, the value 9x² + 49y² is 58.

Related Questions to study

Which line segment will give the distance between the parallel shelves of the given table?

Which line segment will give the distance between the parallel shelves of the given table?

Is c parallel to d? Justify your answer

Is c parallel to d? Justify your answer

Write a compound inequality for each graph :

Write a compound inequality for each graph :

parallel

In a garden, two poles are perpendicular to the same concrete line. What conclusion can you draw about the poles?

In a garden, two poles are perpendicular to the same concrete line. What conclusion can you draw about the poles?

Write a compound inequality for the graph :

Write a compound inequality for the graph :

If the product of two numbers is 10 and their sum is 7, what is the larger of the two
Numbers?

If the product of two numbers is 10 and their sum is 7, what is the larger of the two
Numbers?

parallel

Two walls of a room intersect to form four right angles. Then the walls are

Two walls of a room intersect to form four right angles. Then the walls are

How can you use inequalities to describe the sets of numbers graphed below:

How can you use inequalities to describe the sets of numbers graphed below:

If two lines intersect to form a linear pair of congruent angles, then they are

If two lines intersect to form a linear pair of congruent angles, then they are

parallel

Observe the figure and choose the correct statement

Observe the figure and choose the correct statement

How can you use inequalities to describe the sets of numbers graphed below:

How can you use inequalities to describe the sets of numbers graphed below:

A room is of dimensions 6x feet in length and 4y feet in breadth. A table measuring
2x feet in length and y feet in breadth is in the corner of the room. Find the area of the
room not occupied by the table.

A room is of dimensions 6x feet in length and 4y feet in breadth. A table measuring
2x feet in length and y feet in breadth is in the corner of the room. Find the area of the
room not occupied by the table.

parallel

$open parentheses 4 m squared minus 2 m plus 4 close parentheses plus open parentheses 2 m squared plus 2 m minus 5 close parentheses equals ?$

$open parentheses 4 m squared minus 2 m plus 4 close parentheses plus open parentheses 2 m squared plus 2 m minus 5 close parentheses equals ?$

Simplify and write the answer in the standard form.
$open parentheses 4 m squared minus 2 m plus 4 close parentheses plus open parentheses 2 m squared plus 2 m minus 5 close parentheses$

Simplify and write the answer in the standard form.
$open parentheses 4 m squared minus 2 m plus 4 close parentheses plus open parentheses 2 m squared plus 2 m minus 5 close parentheses$

What is the sum of $negative 2 x squared plus 3 x minus 4 text and end text 3 x squared minus 4 x plus 6 ?$

What is the sum of $negative 2 x squared plus 3 x minus 4 text and end text 3 x squared minus 4 x plus 6 ?$

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.