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NAME
H-Math 7 - Unit 5 Lesson 1

Solve:
{[y=6x],[4x+y=7]:}

NAME $\newline$ H-Math $7$ - Unit $5$ Lesson $1$ $\newline$ $1$ . Solve: $\left\{\begin{array}{c}y=6 x \\ 4 x+y=7\end{array}\right.$

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Sine and cosine of complementary angles

Full solution

Q. NAME

\newline

H-Math

7

- Unit

5

Lesson

1

\newline

1

. Solve:

\left\{\begin{array}{c}y=6 x \\ 4 x+y=7\end{array}\right.

Substitute Equations: We have the system of equations: $\newline$ $1$ . $y = 6x$ $\newline$ $2$ . $4x + y = 7$ $\newline$ Let's substitute the first equation into the second one.
Combine Like Terms: Substitute $y$ from the first equation into the second equation: $4x + (6x) = 7$
Solve for x: Combine like terms: $10x = 7$
Plug in $x$ : Divide both sides by $10$ to solve for $x$ : $x = \frac{7}{10}$
Multiply to Solve: Now we'll plug $x$ back into the first equation to find $y$ : $y = 6 \times \left(\frac{7}{10}\right)$
Simplify Fraction: Multiply to solve for $y$ : $y = \frac{42}{10}$
Simplify Fraction: Multiply to solve for $y$ : $y = \frac{42}{10}$ Simplify the fraction for $y$ : $y = 4.2$

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