Question

When x = 2,what is the value of y for the equation → -3x + 2y = 10?
​

Answer 1

Step-by-step explanation:

The x intercept is -10 and the y intercept is 5

Explanation:

X intercept is the value of x when y is 0

Meaning:

x

−

2

(

0

)

=

−

10

x

=

−

10

Y intercept is the value of y when x is 0

Meaning:

0

−

2

y

=

−

10

−

2

y

=

−

10

−

2

y

−

2

=

−

10

−

2

y

=

5

Answer

Jim G.

Jul 9, 2016

x-intercept = - 10

y-intercept = 5

Explanation:

When the line crosses the x-axis , the y-coordinate at this point will be zero.

By substituting y = 0 into the equation we will obtain the x-intercept.

y= 0 : x - 0 = - 10 → x = - 10 is the x-intercept.

Similarly, when the line crosses the y-axis the x-coordinate at this point will be zero. Substituting x = 0 into the equation will give us the y-intercept.

x = 0 : 0 - 2y = - 10 → y = 5 is the y-intercept.

graph{1/2x+5 [-20, 20, -10, 10]}

Answer 2

☪What us the value of y for the equation given below when x = 2?

$\bf{-3x+2y=10}$

☪ Step - by - step explanation :

$\sf{ - 3x + 2y = 10}$plug the value of x ( i.e 2 )

$➳ \sf{ - 3 \times 2 + 2y = 10}$

Remember : Multiplying or dividing a negative integer by a positive integer gives a negative integer.

$➳ \sf{ - 6 + 2y = 10}$

Move 6 to right hand side and change it's sign

$➳ \sf{2y = 10 + 6}$

Add the numbers : 10 and 6

$➳ \sf{2y = 16}$

Divide both sides by 2

$➳ \sf{ \frac{2y}{2} = \frac{16}{2}}$

$➳ \boxed{ \sf{y = 8}}$

_____________________________

✏ Now, let's check whether the value of y is 8 or not !

✑ Verification :

$\sf{ - 3x + 2y = 10}$

$→ \sf{ - 3 \times 2 + 2 \times 8 = 10}$

$→ \sf{ - 6 + 16 = 10}$

$→ \sf{10 = 10}$

L.H.S = R.H.S ( Hence , the value of y is 8 . )

_________________________

☞ Additional Info :

✒ Sign rules of addition and subtraction of integers:

• The positive integers are always added and posses the positive ( + ) sign.
• The negative integers are always added but posses the negative ( - ) sign.
• The negative and positive integers are always subtracted but posses the sign of the bigger integer.

✒ Sign rules of multiplication and division of integers :

• Multiplying or dividing positive integers gives a positive integer.
• Multiplying or dividing positive integer by any negative integer gives a negative integer.
• Multiplying or dividing a negative integer by a positive integer gives a negative integer.
• Multiplying or dividing a negative integer by a negative integer gives a positive integer.

✒ Rules for solving an equation :

• If any equation contains fractions , multiply each term by the LCM of denominators.
• Remove the brackets , if any.
• Collect the term with the variable to the left hand side and constant terms to the right side by changing their signs ' + ' into ' - ' and ' - ' into ' + '.
• Simplify and get the single term on each side.
• Divide each side by the coefficient of variable and then get the value of variable.