The general line through (a,b) and (c,d) is
(c-a)(y-b)=(d-b)(x-a)
Here that's
(1 - - 5)(y - - 5) = (4 - -5)(x - - 5)
6(y+5)=9(x+5)
6y + 30 = 9x + 45
-15 = 9x - 6y
3x - 2y = -5
Answer: 3x - 2y = -5
We could put that in slope intercept form,
2y = 3x + 5
y = (3/2) x + 5/2
Answer: y = (3/2) x + 5/2
Let's solve your equation step-by-step.<span><span><span>3<span>(<span><span>2x</span>−1</span>)</span></span>+<span>5<span>(<span>x−3</span>)</span></span></span>=<span><span>4x</span>+7</span></span>Step 1: Simplify both sides of the equation.<span><span><span>3<span>(<span><span>2x</span>−1</span>)</span></span>+<span>5<span>(<span>x−3</span>)</span></span></span>=<span><span>4x</span>+7</span></span>Simplify:<span><span><span>11x</span>−18</span>=<span><span>4x</span>+7</span></span>Step 2: Subtract 4x from both sides.<span><span><span><span>11x</span>−18</span>−<span>4x</span></span>=<span><span><span>4x</span>+7</span>−<span>4x</span></span></span><span><span><span>7x</span>−18</span>=7</span>Step 3: Add 18 to both sides.<span><span><span><span>7x</span>−18</span>+18</span>=<span>7+18</span></span><span><span>7x</span>=25</span>Step 4: Divide both sides by 7.<span><span><span>7x</span>7</span>=<span>257</span></span><span>x=<span>257</span></span>Answer:<span>x=<span><span>257
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</span></span>Let's solve your equation step-by-step.<span><span><span>5−x</span>−<span>(<span><span>2x</span>+3</span>)</span></span>=<span>3+<span>8x</span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>5−x</span>−<span>(<span><span>2x</span>+3</span>)</span></span>=<span>3+<span>8x</span></span></span>Simplify:<span><span><span>−<span>3x</span></span>+2</span>=<span><span>8x</span>+3</span></span>Step 2: Subtract 8x from both sides.<span><span><span><span>−<span>3x</span></span>+2</span>−<span>8x</span></span>=<span><span><span>8x</span>+3</span>−<span>8x</span></span></span><span><span><span>−<span>11x</span></span>+2</span>=3</span>Step 3: Subtract 2 from both sides.<span><span><span><span>−<span>11x</span></span>+2</span>−2</span>=<span>3−2</span></span><span><span>−<span>11x</span></span>=1</span>Step 4: Divide both sides by -11.<span><span><span>−<span>11x</span></span><span>−11</span></span>=<span>1<span>−11</span></span></span><span>x=<span><span>−1</span>11</span></span>Answer:<span>x=<span><span>−1</span>11</span></span>
<span>Espero que esto ayude</span>
The correct answer is C. Aimee used the Associative and Commutative properties to put numbers that are easy to add next to each other.
