Mathematics: 3. solve the system of equations. show your work. y = x^2-3x+4 x + y = 4

3. solve the system of equations. show your work.

Ответ:

hi510hello

09.03.2022

x = 2, y = 2

Step-by-step explanation:

$y=x^2-3x+4\\x + y = 4\quad \implies y=4-x\\\\\underline{\text{Substitute y (in the first equation) with 4 - x:}}\\4-x=(4-x)^2-3(4-x)+4\\\\\underline{\text{Expand and distribute right-hand side:}}\\4-x=16-8x+x^2-12+3x+4\\\\\underline{\text{Simplify right-hand side:}}\\4-x=8-5x+x^2\\\\\underline{\text{Set left-hand side equal to zero (subtract 4 and add x):}}\\0=4-4x+x^2\quad \implies 0=x^2-4x+4\\\\\underline{\text{Factor and solve for x:}}\\0=(x-2)(x-2)\\0=x-2\\2=x$

Replace x with 2 in the second equation to solve for y:

x + y = 4

2 + y = 4

y = 2

0,0(0 оценок)

Ответ:

krojas015

01.06.2020

Mathematics

1: 27

2: 79

3: 58

4: 138

Step-by-step explanation:

0,0(0 оценок)

3. solve the system of equations. show your work. y = x^2-3x+4 x + y = 4

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question