HOMIEJILIAN
Answered

Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Ask your questions and receive precise answers from experienced professionals across different disciplines. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

x+y=7;x+2y=11
Solve by substitution
steps must.​

Sagot :

devishri1977

Answer:

Step-by-step explanation:

x + y = 7    ------------(I)

     y = 7 - x  ------------(II)

x + 2y = 11 --------------(III)

Substitute y = 7 - x in equation (III)

x + 2 * (7 -x) = 11

x + 2*7 - 2*x = 11

x + 14 - 2x = 11

x - 2x + 14 = 11

- x + 14 = 11

Subtract 14 from both side

-x = 11 - 14

-x = -3

Multiply both sides by (-1)

x = 3

Substitute x=3 in equation (II)

y = 7 - 3

y = 4

Sᴘᴀᴄᴇ7

Answer:

  • [tex] \boxed{ \tt \red{ x = 3}}[/tex]
  • [tex] \boxed{ \tt \pink {y = 4}}[/tex]

Step-by-step explanation:

Step: Solve x+y=7 for x:

x+y=7

x+y+−y=7+−y(Add -y to both sides)

x=−y+7

Step: Substitute−y+7 for x in x+2y=11:

x+2y=11

−y+7+2y=11

y+7=11(Simplify both sides of the equation)

y+7+−7=11+−7(Add -7 to both sides)

y=4

Step: Substitute 4 for y in x=−y+7:

x=−y+7

x=−4+7

x=3(Simplify both sides of the equation)

Answer:

[tex]\boxed{\sf x = 3 \: and \: y = 4}[/tex]

View image Sᴘᴀᴄᴇ7
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.