Chapter 3: Q. 393 (page 353)

In the following exercises, determine which ordered pairs are solutions to the given equations.
$5 x + y = 10$
$(5, 1)$
$(2, 0)$
$(4, - 10)$

Short Answer

Expert verified

The solutions of the given equation are:

$b . (2, 0)$

$c . (4, - 10)$

Step by step solution

Step 1. Given information

The equation is $5 x + y = 10$ ...........equation (1)

Points are

$(5, 1)$
$(2, 0)$
$(4, - 10)$

Part (a) Step 1. Check point 5,1

Substitute $x = 5, y = 1$ in the L.H.S of equation (1)

L.H.S

. $5 \times 5 + 1 = 25 + 1 = 26$

R.H.S. of equation (1) is 10

Since $26 \neq 10$

hence $(5, 1)$ is not a solution to the equation.

Part(b) Step 1. To check point (2,0)

Substitute $x = 2, y = 0$ in L.H.S. of equation (1)

L.H.S.

$= 5 \times 2 + 0 = 10 + 0 = 10$

R.H.S. $= 10$

Since L.H.S.=R.H.S.

Hence $(2, 0)$ is solution to the equation.

Part(c) Step 1. To check point (4,-10)

Substitute $x = 4, y = - 10$ in the L.H.S. of given equation (1)

L.H.S.=

$5 \times 4 + (- 10) = 20 - 10 = 10$

R.H.S. $= 10$

Since $L . H . S . = R . H . S .$

Hence $(4, - 10)$ is solution to the given equation.

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In the following exercises, determine which ordered pairs are solutions to the given equations.
$5 x + y = 10$
$(5, 1)$
$(2, 0)$
$(4, - 10)$

Short Answer

Step by step solution

Step 1. Given information

Part (a) Step 1. Check point 5,1

Part(b) Step 1. To check point (2,0)

Part(c) Step 1. To check point (4,-10)

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In the following exercises, determine which ordered pairs are solutions to the given equations. 5x+y=10(5,1)(2,0)(4,−10)

Short Answer

Step by step solution

Step 1. Given information

Part (a) Step 1. Check point 5,1

Part(b) Step 1. To check point (2,0)

Part(c) Step 1. To check point (4,-10)

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Calculus

Theoretical and Mathematical Physics

Discrete Mathematics

Decision Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, determine which ordered pairs are solutions to the given equations.
$5 x + y = 10$
$(5, 1)$
$(2, 0)$
$(4, - 10)$